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Indian Institute of Technology Bhubaneswar
Indian Institute of Technology Bhubaneswar

Prof. Vasudeva Rao Allu Professor
School of Basic Sciences

Research Interests

  • Complex Analysis
  • Geometric Function Theory
  • Harmonic Mappings in the Plane

Contact Details

  • Department of Mathematics, Room No: 344, School of Basic Sciences
  • +91-674-7135120
  • avrao [AT} iitbbs (DOT) ac (DOT) in, alluvasudevarao (AT) gmail (DOT) com

Other Profile Link(s)

Education

 Degree Discipline Year School
  Post Doctoral Fellow Mathematics 2011 Technion-Israel Institute of Technology, Haifa, Israel
  Ph.D. Mathematics 2010 Indian Institute of Technology Madras
  M.Sc. Mathematics 2002 University Of Hyderabad
 

Biosketch

 
Prof. Vasudeva Rao Allu has received an M.Sc. (Mathematics) from the University of Hyderabad, a Ph.D. from the Indian Institute of Technology Madras, and carried out his post-doctoral studies from the Technion-Israel Institute of Technology, Haifa, as well as from IIT Madras (with an NBHM Fellowship). Currently, Prof. Allu is a Professor of Mathematics at the Department of Mathematics, School of Basic Sciences, IIT Bhubaneswar. He was a visiting research scholar at the University of Turku, Finland (2007 and 2009) with the Distinguished CIMO (Center for International Mobility) Fellowship. Prof. Allu was a visiting faculty member at Yamaguchi University, Japan, in December 2011.

 

The Andhra Pradesh Association of Mathematics Teachers (A.P.A.M.T.) (2002) presented Prof. Allu with the Gold Medal and Aryabhatta Award for securing the state first rank in the Andhra Pradesh Mathematical Olympiad at the M.Sc. level. He received the Best Paper Presentation Award at the 22nd  Annual Conference of the Ramanujan Mathematical Society (2007). He has been selected for the International Congress of Mathematicians 2018-Open Arms Travel Grant. (2018) and the Chebyshev Grant from the International Congress of Mathematicians 2022.

 

Prof. Allu is a member of the Editorial Board of the Journal of Mathematical Inequalities (since 2021). Professor Allu received the Teaching Excellence Award from IIT Bhubaneswar in 2020 and 2023. He is an elected member of the London Mathematical Society (since 2018) and a member of the National Academy of Sciences, India (since 2019).

 

 

 

Teaching

 
Autumn (2024-2025):
  • Real Analysis (MA5L002) (M.Sc.-1st  Semester); 
  • Advanced Complex Analysis (M.Sc-3rd Semester/Ph.D.) 
Spring (2023-2024):
  • Partial Differential Equations (B.Tech. 4th Semester) 
Autumn (2022-2023):
  • Transform Calculus (B.Tech. 3rd Semester)
  • Calculus of Analytic Geometry  (ITEP-B.Sc.-BEd. students of 1st  Semester)
Spring (2022-2023):  
  • Mathematics -II (B.Tech. 2nd Semester)
  • Advanced Complex Analysis (M.Sc/Ph.D.)
Autumn (2022-2023):  
  • Transform Calculus (B.Tech. 3rd Semester)
  • Functions of Several Variables (M.Sc. 3rd Semester)

Spring (2021-2022):  

  • Mathematics -II (B.Tech. 2nd Semester)
  • Complex Analysis (M.Sc. 2nd Semester)

Autumn (2021-2022):  

  • Mathematics -I (B.Tech. 1st Semester)
  • Functions of Several Variables (M.Sc. 3rd Semester)
Spring (2020-2021):
  • Mathematics-II (B.Tech. 1st Semester)
  • Advanced Complex Analysis (M.Sc./Ph.D.)

Autumn (2020-2021):  

  • Mathematics -I (B.Tech. 1st Semester)

Spring (2019-2020):  

  • Mathematics -II (B.Tech. 2nd Semester)
  • Advanced Complex Analysis (M.Sc/Ph.D.)

Autumn(2019-2020):  

  • Mathematics -I (B.Tech. 1st Semester)
  • Differential Geometry (M.Sc. 4th Semester)

Summer Quarter (2018-2019):

  • Transform Calculus (B.Tech. 3rd Semester)

Spring (2018-2019): 

  • Mathematics-II ( B.Tech. 1st Semester)
  • Measure Theory and Integration (M.Sc./Ph.D.)

 

 

 

 

 

Projects

 Projects Completed):
 
1) Project: AICTE- Margdarshan Scheme
    Funding Agency: AICTE
    Mentor Institute: IIT Bhubaneswar
    Role: Chief-Coordinator
    Duration: 2024-2027 (Ongoing)
 
2) Title of the Project: A study of harmonic analogue of certain univalent
                                   and analytic functions
      Principal Investigator : Dr. Vasudeva Rao Allu      
      Co-Principal-Investigators : None
      Funding Agency: SERB, MATRICS (Mathematical Research Impact
                                 Centric Support)
     Duration:  2020-2022  (Completed)
 
 
3) Title of the Project: An enquiry into the problems in Geometric Function 
                                   Theory
     Principal Investigator : Dr. Vasudeva Rao Allu 
     Co-Principal-Investigators : None
     Funding Agency: SERB, CRG (Core Research Grant)
     Duration:  2021-2023 (Completed)
 
4)  Title of the project : Certain conjectures on univalent and
                                             harmonic mappings
    Principal Investigator : Dr. Vasudeva Rao Allu 
     Co-Principal-Investigators : None
     Funding Agency : SERB, Govt. of India (under the scheme
                                  “Start Up Research Grant (Young Scientist))”
     Cost of the Project : Rs. 15,30,100/-
     Status : Completed
 
 
5) Title of the project: Problems and Conjectures in Geometric
                              Function Theory 
   Principal Investigator : Dr. Vasudeva Rao Allu
    Co-Principal-Investigators : None
    Funding Agency : NBHM “(Department of Atomic Energy), Govt. of India
    Cost of the Project : Rs. 1,50,0000/–
    Status: Completed
 
 
6) Title of the project: Coefficient bounds, distrotion condition or
                                   subclasses of univalent functions and Nitsche type
                                   conjectures for harmonic univalent functions
 
    Principal Investigator : Dr. Vasudeva Rao Allu
    Co-Principal-Investigators : None
    Funding Agency : ISIRD, SRIC, IIT Kharagpur
    Cost of the Project : Rs. 3,70,000/-
    Status: Completed
 
 

Recent Publications (International Journals)

1Molla Basir Ahamed and Vasudevarao Allu, On an open problem of value sharing and differential equations, Proceedings of the Edinburgh Mathematical Society (2024) (Accepted for publication)
2Vasudevarao Allu and Abhishek Pandey, On the Generalized Zalcman Conjecture, Annali di Matematica Pura ed Applicata (1923 -) 203(2024), 2665–2675. https://doi.org/10.1007/s10231-024-01461-z
3Vasudevarao Allu and Himadri Halder, Bohr radius for Banach spaces on simply connected domains, Proceedings of the Edinburgh Mathematical Society 67 (2024), 113-141.
4Molla Basir Ahamed and Vasudevarao Allu, Dynamical behavior of meromorphic solutions for certain complex difference equations, Contemporary Mathematics (American Mathematical Society) (2024) (Accepted for publication)
5Vasudevarao Allu, Himadri Halder and Subhadip Pal, Arithmetic Bohr radius for the Minkowski space, Forum Mathematicum (2024) https://doi.org/10.1515/forum-2023-0425
6Vasudevarao Allu and Abhishek Pandey, Neargeodesics in Gromov hyperbolic John domains in Banach spaces, Annales Fennici Mathematici 49(2024), 473-485.
7Vasudevarao Allu and Navneet Lal Sharma, On logarithmic coefficients for classes of analytic functions associated with convex functions, Bulletin des Sciences Mathématiques 191 (2024) Paper No. 103384, 16 pp.
8Vasudevarao Allu and Amal Shaji, The sharp bound of the second Hankel determinant of logarithmic coefficients for starlike and convex functions, Bulletin of the Australian Mathematical Society (2024) (Accepted for publication), doi:10.1017/S0004972724000947
9Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, An Asymptotic behaviour of Bohr's Radii for Polynomials on simply connected domains, C. R. Math. Acad. Sci. Paris (2024) Accepted for publication
10Vasudevarao Allu and Amal Shaji, The second Hankel determinant for logarithmic inverse coefficients of convex and starlike functions, Bulletin of the Australian Mathematical Society (2024) (Accepted for publication)
11Vasudevarao Allu and Himadri Halder, Bohr phenomenon for harmonic Bloch functions, Analysis Mathematica (Accepted for publication) (2024)
12Vasudevarao Allu and Vibhuti Arora, Second Hankel determinant of logarithmic coefficients of certain analytic functions, Rocky Mountain Journal of Mathematics 54(2) (2024), 343-359.
13Vasudevarao Allu and Rohit Kumar, Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings, Journal of Mathematical Analysis and Applications 535 (2024), Paper No. 128215, 13 pp.
14Vasudevarao Allu and Himadri Halder, Landau's theorem for harmonic Bloch functions on simply connected domains, Complex Variables and Elliptic Equations (2024) DOI: 10.1080/17476933.2023.2298834
15Molla Basir Ahamed and Vasudevarao Allu, Improved Bohr inequalities for certain classes of harmonic mappings, Journal of Ramanujan Mathematical Society 39 (2024), 143-161.
16Molla Basir Ahamed and Vasudeva Rao Allu, Transcendental solutions of Fermat-type functional equations in $ \mathbb{C}^n $, Analysis and Mathematical Physics 13(2023), no.5, Paper No. 69, 17 pp.
17Vasudevarao Allu and Himadri Halder, Bohr operator on operator valued polyanalytic functions on simply connected domains, Canadian Mathematical Bulletin 66 (2023), 1411-1422.
18Molla Basir Ahamed and Vasudevarao Allu, Harmonic analogue of Bohr phenomenon of certain classes of univalent and analytic functions, Mathematica Scandinavica 129 (2023), 481-506.
19Vasudevarao Allu and Nirupam Ghosh, Bohr type inequality for Cesaro and Bernardi integral operator on simply connected domain, Proc. Indian Acad. Sci. 133(2023), no.2, Paper No. 22, 10 pp.
20 Vasudeavarao Allu, Vibhuti Arora and Amal Shaji, On the Second Hankel determinant of Logarithmic Coefficients for certain univalent functions, Mediterranean Journal of Mathematics 20 (2023), no. 2, Paper No. 81, 10 pp
21Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, Improved Bohr inequalities for certain class of harmonic univalent functions, Complex Variables and Elliptic Equations 68(2023), 267--290.
22Molla Basir Ahamed and Vasudevarao Allu, Bohr-Rogosinski radius for a certain class of close-to-convex harmonic mappings, Canadian Mathematical Bulletin 66(3) (2023), 1014 - 1029,
23Vasudevarao Allu, Himadri Halder and Subhadip Pal, Bohr and Rogosinski inequalities for operator valued holomorphic functions, Bulletin des Sciences Math 182 (2023) 103214.
24Vasudevarao Allu and Vibhuti Arora, Bohr-Rogosinski type inequalities for concave univalent functions, Journal of Mathematical Analysis and Applications 520 (2023) no.1, Paper No. 126845, 14 pp.
25Daoud Bshouty, Abdallah Lyzzaik, Antti Rasila and Allu Vasudevarao, Moduli of doubly connected domains under univalent harmonic maps, The Journal of Geometric Analysis, (2022) 32:152 , DOI: 10.1007/s12220-022-00895-2
26Vasudevarao Allu and Himadri Halder, Operator valued analogues of multidimensional Bohr's inequality, Canadian Mathematical Bulletin 65 (2022), 1020--1035.
27Vasudevarao Allu and Himadri Halder, The Bohr inequality for certain harmonic mappings, Indagationes Mathematicae 33 (2022), 581--597.
28Vasudevarao Allu and Himadri Halder, Bohr phenomenon for certain close-to-convex analytic functions, Computational Methods and Function Theory 22 (2022), 491--517.
29Molla Basir Ahamed and Vasudevarao Allu, Bohr phenomenon for certain classes of harmonic mappings, Rocky Mountain Journal of Mathematics 52(2022), 1205-1225.
30Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara, An application of Schur algorithm to variability regions of certain analytic functions-II, Bulletin of the Australian Mathematical Society 105 (2022), 468 -- 481.
31Vasudevarao Allu, Adam Lecko and Derek Keith Thomas, Hankel, Toeplitz and Hermitian-Toeplitz determinants for certain Close-to-convex Functions, Mediterranean Journal of Mathematics 19 (2022), no. 1, Paper No. 22, 17, https://doi.org/10.1007/s00009-021-01934-y
32Molla Basir Ahamed and Vasudevarao Allu, Bohr-Rogosinski inequalities for certain fully starlike harmonic mappings, Bulletin of the Malaysian Mathematical Sciences Society 45 (2022), 1913--1927.
33Md. Firoz Ali, A. Vasudevarao and H. Yanagihara, An application of Schur algorithm to variability regions of certain analytic functions-I. Computational Methods and Function Theory 22 (2022), 35--54.
34Vasudevarao Allu and Himadri Halder, The Bohr phenomenon for certain Subclasses of Harmonic Mappings, Bulletin des Sciences Mathématiques 173 (2021), Paper No. 103053, 18 pp., https://doi.org/10.1016/j.bulsci.2021.103053
35Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, The Bohr Phenomenon for analytic functions on simply connected domains, Annales Fennici Mathematici 47(2021), 103--120.
36Molla Basir Ahamed, Vasudevarao Allu, and Himadri Halder, Bohr radius for certain classes of close-to-convex harmonic mappings, Analysis and Mathematical Physics 11 (2021), no. 3, Paper No. 111, 30 pp. doi:10.1007/s13324-021-00551-y
37Vasudevarao Allu and Abhishek Pandey, Support points of some classes of analytic and univalent functions, C. R. Math. Acad. Sci. Paris 359 (2021), 465--473.
38Vasudevarao Allu and Himadri Halder, Bohr radius for certain starlike and convex univalent functions, Journal of Mathematical Analysis and Applications 493(2021), 124519.
39Vasudevarao Allu and Abhishek Pandey, Zalcman Conjecture for certain analytic and univalent functions, Journal of Mathematical Analysis and Applications 492(2020), 124466.
40 Md. Firoz Ali, Vasudevarao Allu and Nirupam Ghosh, A convolution property of univalent harmonic right half mappings, Monatshefte für Mathematik 193(2020),729-736.
41Md. Firoz Ali, A. Vasudevarao and H. Yanagihara, On a class of univalent functions defined by a differential inequality, Journal of Ramanujan Mathematical Society 35 (2020), 217-226.
42Vasudevarao Allu, Janusz Sokol and Derek K Thomas, On a close-to-convex analogue of certain starlike functions, Bulletin of the Australian Mathematical Society 102(2020), 268-281.
43Nirupam Ghosh and Vasuevarao Allu, On some subclass of harmonic mappings, Bulletin of the Australian Mathematical Society 101(2020), 130--140.
44Md Firoz Ali and Vasudevarao Allu, Coefficient estimates and integral mean estimates for certain classes of analytic functions, C. R. Math. Acad. Sci. Paris 357 (2019), 436-442.
45Nirupam Ghosh and A. Vasudevarao, The radii of fully starlikeness and fully convexity of a harmonic operator, Monatshefte für Mathematik 188 (2019) 653--666.
46Nirupam Ghosh and A. Vasudevarao, On some subclass of harmonic close-to-convex mappings, Monatshefte für Mathematik 188(2019), 247--267.
47Vasudevarao Allu, Derek K. Thomas and Nikola Tuneski, On Ozaki close-to-convex functions, Bulletin of the Australian Mathematical Society 99(2019), 89--100.
48Samiran Chakraborty and Allu Vasudevarao, On Stable Functions, Computational Methods and Function Theory 18(2018), 677--688.
49Derek K. Thomas, Nikola Tuneski and Allu Vasudevarao, Univalent Functions: A Primer, De Gruyter Studies in Mathematics, 69, De Gruyter, Berlin, Boston, 2018, xiii+252 pp, ISBN 978-3-11-056096-1
50Md Firoz Ali and A. Vasudevarao, On Certain Families of Analytic Functions in the Hornich Space, Computational Methods and Function Theory 18(2018), 643--659.
51Nirupam Ghosh and A. Vasudevarao, Some basic properties of certain subclass of harmonic univalent functions, Complex Variables and Elliptic Equations 63 (2018), 1687--1703.
52U. Pranav Kumar and A. Vasudevarao, Logarithmic coefficients for certain subclasses of close-to-convex functions, Monatshefte für Mathematik 187(2018), 545--563.
53Md Firoz Ali, D. K. Thomas, and A. Vasudevarao, Toeplitz determinants whose elements are the coefficients of analytic and univalent functions, Bulletin of the Australian Mathematical Society 97(2)(2018), 253--264.
54Md Firoz Ali and A. Vasudevarao, On logarithmic coefficients of some close-to-convex functions, Proceedings of the American Mathematical Society 146(3)(2018), 1131--1142.
55Md Firoz Ali and A. Vasudevarao, Logarithmic coefficients of some close-to-convex functions, Bulletin of the Australian Mathematical Society 95 (2017), 228--237.
56Md Firoz Ali and A. Vasudevarao, On Coefficient Estimates of Negative Powers and Inverse Coefficients for Certain Starlike Functions, Proceedings of the Indian Academy Of Science (Math. Sci.) 127(3)(2017), 449--462.
57Nirupam Ghosh and A. Vasudevarao, Coefficient estimates for certain subclass of analytic functions defined by subordination, Filomat 31(11) (2017), 3307-3318.
58A. Vasudevarao, Fekete–Szegö inequality for certain spiral-like functions, C. R. Math. Acad. Sci. Paris 354 (2016), 1065--1070,
59M. Okada, S. Ponnusamy, A. Vasudevarao and H. Yanagihara Circular symmetrization, subordination and arclength problems on convex functions, Mathematische Nachrichten 289 (2016), 1044--1051
60Md Firoz Ali and A. Vasudevarao, Coefficient inequalities and Yamashitas conjecture for some classes of analytic functions, Journal of the Australian Mathematical Society 100(1) (2016), 1-20.
61A.Vasudevarao, Fekete-Szegö problem for certain subclasses of univalent functions, Bulletin of the Korean Mathematical Society 52 (6)(2015), 1937--1943
62Md Firoz Ali and A. Vasudevarao, Integral Means and Dirichlet integral for certain class of analytic function, Journal of the Australian Mathematical Society 99(3)(2015), 315--333.
63A. Vasudevarao, An Arclength problem for some subclasses of m-fold symmetric functions, Mathematica (Cluj) 56(79)(2014), 182-192.
64A. Vasudevarao, An arclength problem for some subclasses of univalent functions, The Journal of Analysis 22 (2014), 145-149.
65A. Vasudevarao, Region of variability for some subclasses of univalent functions, Springer Proc. Math. Stat. 91 (2013), 151--170,
66A. Vasudevarao and Hiroshi Yanagihara, On the growth of analytic functions in the class ${mathcal U}(lambda )$, Computational Methods and Function Theory 13(4) (2013), 613--634.
67S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for exponentiall convex functions, Complex Analysis and Operator Theory 5(3) (2011), 955--966.
68S. Ponnusamy and A. Vasudevarao, Region of variability for functions with positive real part, Annales Polonici Mathematici 99(3)(2010), 225--245.
69S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability for close-to-convex functions-II, Applied Mathematics and Computation 215(3)(2009), 901--915.
70S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for certain classes of univalent functions satisfying differential inequalities, Complex Variables and Elliptic Equations 54(10)(2009), 899--922.
71S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for spirallike functions with respect to a boundary point, Colloquium Mathematicum 116(1)(2009), 31--46.
72S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability of univalent functions $ f(z)$ for which $ zf'(z)$ is spirallike, The Houston Journal of Mathematics 34(4) (2008), 1037--1048.
73S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability for close-to-convex functions, Complex Variables and Elliptic Equations 53(8)(2008), 709 -- 716.
74S. Ponnusamy and A. Vasudevarao, Region of variability of two subclasses of univalent functions, The Journal of Mathematical Analysis and Applications 332 (2007), 1323--1334.

Conferences (International)

1Attended ICMAM Latin America 2024 (International Community of Mathematicians from Latin America) during October 14th-18th, 2024 sponsored by IMU and International Society for Analysis its Applications and Computation (virtual mode)
2Invited talk "Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings" at International Conference on Complex Analysis and Computational Fluid Dynamics (ICCACFD 2024)" organized by KIIT Deemed to be University, Bhubaneswar during February 16-18, 2024
3Invited talk "Bohr radius for Banach spaces on simply connected domains" at Interactions in Several Complex Variables (workshop & conference) held at IISER Pune during December 11-15, 2023
4 Prof. Bhavanari Satyanarayana, Prof. Sreedharamalle Sreenadh and Prof. Thota Srinivas Endowment lecture “ On Bohr phenomenon in Geometric Function Theory” at 32nd Annual congress of Andhra Pradesh and Telangana Society for Mathematical Sciences (APTSMS) & International Conference on Computational Modeling in Science and Engineering (ICCMSE-2023), NIT Warangal, 28--30th October 2023.
5Invited talk "On Bohr Inequality for Operator-valued Analytic Functions" at the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (The 29th ICFIDCAA–2023) organized by Department of Mathematics Ramanujan School of Mathematical Sciences Pondicherry University, August 21-25, 2023.
6Invited talk "On Bohr phenomenon" at International Workshop on Geometric Function Theory (IWGFT 2023), Organized by Department of Mathematics, IIT Madras, August 18-20, 2023
7Participated in The Current Developments in Mathematics (CDM) conference jointly hosted by Harvard University and the Massachusetts Institute of Technology (MIT) (through virtual mode), from 2022-03-18 to 2022-03-19.
8Invited talk: Bohr radius for Banach spaces on simply connected domains, Computational Methods in Function Theory (CMFT), The Federico Santa Mar­ia Technical University in Valparaiso, Chile, January 10-14, 2022.
9Plenary talk "Bohr phenomenon for harmonic Bloch functions on simply connected domains" (with Himadri Halder) at VIII International Conference of Mathematics and Computer Science "Congressio Mathematica", University of Warmia and Mazury in Olsztyn, Poland, during September 19 to 25, 2022.
10 Invited Talk: The Bohr phenomenon for Banach Spaces at Wuerzburg Complex Analysis Seminar, University of Wuerzburg, Germany on February 4th, 2022.
11Plenary talk "The Bohr phenomenon for certain analytic and univalent functions" at the VI Conference of Mathematics and Computer Science, "Congressio Mathematica", University of Warmia and Mazury in Olsztyn, Poland, during November 21 to 22; 28 to 29, 2020.
12Plenary talk "On the Third Logarithmic Coefficient of Close-to-convex Functions" (with Md Firoz Ali and D.K. Thomas) at V International Conference of Mathematics and Computer Science "Congressio Mathematica", University of Warmia and Mazury in Olsztyn, Poland, during September 23 to 25, 2018.
13Short Communication at Certain subclasses of harmonic univalent mappings (with Nirupam Ghosh) in Short Communication at International Congress of Mathematicians (ICM 2018), Rio de Janeiro (Brazil) during August 1 to 9, 2018.
14Invited talk "On the Growth of Some Subclasses of the Class of Univalent Functions" at International Symposium in Geometric Function Theory and Applications at Isik University, Turkey during August 26-September 4, 2013.
15Invited talks "On region of variabilities for family of analytic functions" at the Department of Applied Sciences, Yamaguchi University, Ube, Japan during December 19 to 23, 2011.
16Short Communication "Region of variability for spirallike functions with respect to a boundary point" at International Congress of Mathematicians (ICM 2010) at Hyderabad, August 19 to 27, 2010.
17Invited talk "Region of variability for functions with positive real part" at ICM 2010-Satellite Conference: International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) at IIT Madras, August 09-17, 2010.
18Invited talk "Region of variability for functions with positive real part" in Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 28, 2009.
19Invited talk "Region of variability and Fekete Szego problem for exponentially convex univalent functions" in Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 14, 2009.
20Invited talk "Region of variability for exponentially convex univalent functions" at International conference on Complex Analysis and Related Topics, 12th Romannian-Finnish Seminar at University Turku, Finland, August 17-21, 2009.
21Invited talk "Region of variability for exponentially convex univalent functions" in Turku Analysis seminar at Department of Mathematics, University of Turku, Finland on August 07, 2009.
22Invited talk "Certain classes of univalent functions and radius problems" in Turku Analysis Seminar at Department of Mathematics, University of Turku, Finland on January 30, 2008.
23Invited talk "Region of variability for certain classes of univalent functions satisfying differential inequalities" at Finnish Mathematical Days 2008 at Helsinki University of Technology, Helsinki, Finland, January 3-4, 2008.

Conferences (National)

1Invited talk "An infinite product representation of meromorphic functions" at a two day Workshop on "Complex Analysis and its Applications -2024" organised by Gati Shakti Vishwavidyalaya Vadodara (A Central University sponsored by the Ministry of Railways, Govt. of India), during from February 23-24, 2024
2Invite talk "Bohr radius for certain classes of analytic and harmonic mappings" at IIT Tirupathi on 18-11-2022.
3Invited lectures at "Annual Foundation School- I (AFS-I) at the Department of Mathematics, National Institute of Technology Durgapur, during December 12, 2022 to January 7, 2023.
4Invited talk "Bohr and Rogosinski inequalities for operator valued holomorphic functions" in the Symposium Complex Analysis of 37th Annual Conference of Ramanujan Mathematical Society during 06 - 08, December 2022.
5Invited Talk: On logarithmic coefficients problem for univalent functions, One Day International Symposium on Mathematical Analysis on the occasion of National Mathematics Day (134th Birth Anniversary of Srinivasa Ramanujan) Amity University, Haryana 22-12-2022.
6Participated 36th Annual Conference of Ramanujan Mathematical Society from 2021-08-04 to 2021-08-07 (Attend through Virtual conference mode)
7Invited talk: Bohr radius for certain classes of analytic and harmonic mappings, Faculty Development Program(FDP) on Mathematical Approaches in Science and Engineering?, Koneru Lakshmaiah Education Foundation (deemed to be University), 11-02-2021
8Participated 35th Annual Conference of Ramanujan Mathematical Society from 2020-12-28 to 2020-12-30 (Attend through Virtual conference mode)
9Participated 35th Ramanujan Mathematical Society (RMS) Pre-Conference Symposium on Complex Analysis organised by Central University, Rajasthan from 2020-12-27 to 2020-12-27 (Attend through Virtual conference mode)
10Invited talk: On logarithmic coefficients of some close-to-convex functions at International Webinar on Recent Trends in Geometric Function Theory & Applications (RTGFTA-2020), September 18-21, 2020 KIIT Deemed to be University, Bhubaneswar.
11Talk "Region of variability for certain subclasses of univalent functions" (Awarded for the Best Paper Presentation Award) at , 22nd Annual conference of Ramanujan Mathematical Society at the Department of Mathematical and Computational Sciences, National Institute of Technology Surathkal, India during June 6-8, 2007.
 

Academic Honors & Awards

  • Editor, Journal of Inequalities and Applications (since 2023)
  • Teaching Excellence Award 2023, IIT Bhubaneswar
  • Received the Srinivasa Ramanujan Memorial Award for the Year 2022 by Ramanujan Mathematics Academy, Ramachandrapuram, AP
  • Selected for Chebyshev Grant from International Congress of Mathematicians 2022
  • Editor of the Journal of Mathematical Inequalities (2021)
  • Teaching Excellence Award 2020, IIT Bhubaneswar (2020)
  • Member of the National Academy of Sciences, India (2019)
  • Editor of the Bulletin of Mathematical Analysis and Applications (Since 2019)
  • Elected Member of the London Mathematical Society (Since 2018)
  • Selected for International Congress of Mathematicians 2018-Open Arms Travel Grant. (2018)
  • Post-Doctoral Fellowship at Technion-Israel Institute of Technology, Haifa, Israel (2010)
  • NBHM (Govt. of India) Post-Doctoral Fellowship (2010)
  • Distinguished CIMO Fellowship (Center for International Mobility), Finland (2007 and 2009)
  • The Best Paper Presentation Award at 22 nd Annual Conference of Ramanujan Mathematical Society (2007)
  • Gold Medal and Aryabhatta Award for securing State First Rank in Andhra Pradesh Mathematical Olympiad at M.Sc. level conducted by Andhra Pradesh Association of Mathematics Teachers (A.P.A.M.T.) (2002)
 

Research Scholar

 
Ph.D. Completed :
 
1) Dr. Md. Firoz Ali (2017) (IIT Kharagpur)
     Title of Ph.D. thesisi: Coefficient problems and geometric properties for certain analytic functions
     (Present Status: Assistant Professor at NIT Durgapur)
 
2) Dr. Nirupam Ghosh (2019) (Jointly with Prof. G.P. Raja Sekhar) (IIT Kharagpur)
    Title of Ph.D. thesis: Analytic and geometric characterizations of certain subclasses of harmonic functions
     (Present Status: Assistant Professor  at IIEST Shibpur) 
 
3) Dr. Himadri Halder (2022) (IIT Bhubaneswar)
     Title of Ph.D. thesis: A study of Bohr phenomenon for complex-valued and operatorvalued functions
     (Present Status: Post-Doctoral Fellow at IIT Bombay)
 
4) Mr. Abhishek Pandey (PMRF) (2024)(IIT Bhubaneswar)
     Title of Ph.D. thesis:   A study on certain problems in univalent function theory and quasihyperbolic geometry
     (Defended PhD Thesis on  23-12- 2024)
 
 
Ph.D. Ongoing :
  
1)  Mr. Amal Shaji  (CSIR) Joined in January 2021
2) Mr. Rohit Kumar (CSIR) Joined in January 2021
3) Mr. Subhadip Pal (DST-Inspire) Joined in January 2021
4) Mr. Shobhit Kumar (CSIR) Joined in July 2021
5) Mr. Alan P. Jose (CSIR) Joined in January 2022
6) Mr. Dipon Kumar Mondal (UGC)  Joined in July 2023
 
 
Post-Doctoral Students: 
 
1) Dr. Molla Basir Ahamed ( Institute Post Doctoral Fellow) (Sept 2020 to May 2021)
     (Present Status: Assistant Professor at Jadavpur University)
 
 
 

Professional Experience

  1. Reviewer of Mathematical Reviews of American Mathematical Society   (Since 2009);  2. Reviewer of Zentralblatt  (Since 2010)

Service outside of IIT Bhubaneswar

 
 
Member of Boar of studies 
 
1) Member of Board of Studies, Department of Basic Science and Humanities, Avanthi Institute of Engineering and Technology 
     (Autonomous),  Vizianagaram (Dist), Andhra Pradesh (2024-2025)
 
2) Member of Board of Studies, Department of Mathematics, GIET University, Gunupur, Odisha. (Since 2023)
 
 

 

Other Responsibilities at IIT Bhubaneswar

1) Member of the Faculty Search Committee for Visiting Faculty of foreign Orign (Mathematics)
2) Coordinator of the Colloquium (Mathematics)
3) Coordinator of the Research Scholoars (Mathematics)
4) Coordinator of PMRF for School of Basic Sciences
5) Member of RPEC (Research Programme Evaluation Committee) (Since May 2021)
6) Faculty Advisor for M.Sc. (Mathematics) (2019-2021)
 

Professional Membership

1.Member, National Academy of Sciences, India (2019)
2. Elected Member,  London Mathematical Society (Since November 2018)
2. Member, American Mathematical Society (Since January 2011)
3. Life Member,  Indian Mathematical Society, India
4. Life Member, Ramanujan Mathematical Society, India
5. Life Member,  Forum de' Analystes, India
 
 

Professional Services

 1. Reviewer of Mathematical Reviews of American Mathematical Society   (Since 2009)
 2. Reviewer of Zentralblatt  (Since 2010)

Fellowships

 
1. Post-Doctoral Fellowship at Technion-Israel Institute of Technology, Haifa,
     Israel. (2010)
 
 2.  NBHM Post-Doctoral Fellowship, (Department of Atomic Energy (DAE),  
     Govt. of India) (2010) 

3. Distinguished  CIMO (Center of International Mobility) Fellowship
    from Ministry of  Education, Finland  ( 2007)

4. NBHM Senior Research Fellowship at Department of Mathematics,
    IIT Madras. (2010)
 

Book

Derek K. Thomas, Nikola Tuneski and Allu Vasudevarao,Univalent Functions: A Primer, De Gruyter Studies in Mathematics, 69, De Gruyter, Berlin, Boston, 2018, xiii+252 pp, ISBN 978-3-11-056096-1.

Research Visits

  1. Visiting Assistant Professor at the Department of Applied Sciences, Yamaguchi University,  Ube, Japan during December 11–25, 2011.

  2. Post-Doctoral Fellow at Technion-Israel Institute of Technology, Haifa, Israel  from September 04, 2010 to January 31, 2011.

  3. Visiting Research Scholar at the Department of mathematics, University of Turku, Finland   from August 03, 2009 to September 30, 2009.

  4. Visited ‘‘1 December 1918’’University of Alba Iulia, Romania for presenting the paper entitled “Regions of variability for certain subclasses of univalent functions” at International conference on Complex Analysis and Related Topics, 11th Romannian-Finnish Seminar from August 14–19, 2008.

  5. Visiting Research Scholar at the Department of mathematics, University of Turku, Finland from November 01, 2007 to February 28, 2008.

 

 

Projects:

 Ongoing Project:
 
1) Title of the Project: A study of harmonic analogue of certain univalent and analytic functions
     Funding Agency: SERB, MATRICS (Mathematical Research Impact Centric Support)
     Duration:  2020-2022.
 
2) Title of the Project: An enquiry into the problems in Geometric Function Theory
     Funding Agency: SERB, CRG (Core Research Grant)
     Duration:  2021-2023.
 
 
 
Completed  Projects:
 
1)  Title of the project : Certain conjectures on univalent and
                                     harmonic mappings
     Principal Investigator : Dr. Vasudeva Rao Allu 
     Co-Principal-Investigators : None
     Funding Agency : SERB, Govt. of India (under the scheme
                                  “Start Up Research Grant (Young Scientist))”
     Cost of the Project : Rs. 15,30,100/-
     Status : Completed
 
 
2) Title of the project: Problems and Conjectures in Geometric
                                   Function Theory 

     Principal Investigator : Dr. Vasudeva Rao Allu
    Co-Principal-Investigators : None
    Funding Agency : NBHM “(Department of Atomic Energy), Govt. of India
    Cost of the Project : Rs. 1,50,0000/–
    Status: Completed
 
 
3) Title of the project: Coefficient bounds, distrotion condition or subclasses
                                   of univalent functions and Nitsche type conjectures for
                                   harmonic univalent functions
    Principal Investigator : Dr. Vasudeva Rao Allu
    Co-Principal-Investigators : None
    Funding Agency : ISIRD, SRIC, IIT Kharagpur
    Cost of the Project : Rs. 3,70,000/-
    Status: Completed
 
 

Supervision of the Students

Ph.D. Completed :

 
1) Dr. Md. Firoz Ali (2017) (IIT Kharagpur)
     (Present Status: Assitant Professor at NIT Durgapur)
2) Dr. Nirupam Ghosh (2019) (Jointly with Prof. G.P. Raja Sekhar) (IIT Kharagpur)
     (Present Status: Post-Doctoral Fellow at ISI Bangalore)
3) Dr. Himadr Halder (2022) (IIT Bhubaneswar) (Defended Ph.D. thesis on 26-10-2022)
 
Ph.D. Ongoing :
  
1) Mr. Abhishek Pandey (PMRF) Joined in January 2020
2) Mr. Amal Shaji  (CSIR) Joined in January 2021
3) Mr. Rohit Kumar (CSIR) Joined in January 2021
4) Mr. Subhadip Pal (DST-Inspire) Joined in January 2021
5) Mr. Shobhit Kumar (CSIR) Joined July 2021
6) Mr. Alan P. Jose (CSIR) Joined January 2022
 
Post-Doctoral Fellow: 
 
1) Dr. Molla Basir Ahamed ( Institute Post Doctoral Fellow) (Sept 2020 to May 2021)
     (Present Status: Assistant Professor at Jadavpur University)
2) Dr. Vibhuti Arora (Institute Post Doctoral Fellow)  (July 2021 to July 2022) 

 

      
 M.Sc. students:
 
1.  Mr. Manotosh Mandal (10MA40014) [IIT Kharagpur] (2012)
     Title of the project: Polynomial coefficients of entire series
     Present Position:  Working in Govt. Degree College, West Bengal
 
2.  Dr. Neelam Singha (11MA40012) [IIT Kharagpur] (2013)
      Title of the project: A study on harmonic mappings in the plane and Fekete-Szeg¨o inequality for some
                                  subclasses of univalent functions
     Present Position:  Completed Ph.D. at  IIT Kharagpur in 2018
 
3. Dr. Sushil Kumar Bhuiya (11MA40026) [IIT Kharagpur] (2013)

    Title of the project: An Arclength problem for subclass of univalent function

    Present Position:  Persuing Ph.D. at  IIT Kharagpur 
 
4. Dr. Gurmeet Kaur (12MA40006) [IIT Kharagpur] (2014)

    Title of the project: On The study of coefficients and inverse coefficients for some subclasses

                                   of univalent functions                                                                                                                                                   

                                   (Awarded for the Best Project in 2014)

    Present Position:  Persuing Ph.D. at  IIT Kharagpur 
 
5. Dr. Meraj Alam (12MA40012) [IIT Kharagpur] (2014)

     Title of the project: On neighbourhoods of some subclasses of class of univalent functions

    Present Position:  Persuing Ph.D. at IIT Kharagpur 
 
6. Mr. Ravi Dhiman (14MA40007) [IIT Kharagpur] (2016)

    Title of the project: Quasiconformal Mappings in Plane Domain

    Present Position:  Persuing MS(Computer Science) at IIT Kharagpur

 
7. Mr. Samiran Chakraborty (14MA40023) [IIT Kharagpur] (2016)

    Title of the project: Quasiconformal Mappings in a Plane

    Present Position:  Persuing Ph.D. at IIT Kharagpur 
 
8. Mr. Supriya Bhunia (15MA40024) [IIT Kharagpur] (2017)
    Title of the project: An Introduction to Harmonic Mappings in the Plane
    Present Postion: Persuing PhD at Vidyasagar University, West Bengal
 
9.  Mr. Vikas Jaiswal [IIT Bhubaneswar] (2020)
 
10. Mr. Bhushan Bhise [IIT Bhubaneswar]  (2020)
 
11. Mr. Parameswar Gupta ï»¿ [IIT Bhubaneswar] (2021)
 
12. Mr. Raja Dutta [IIT Bhubaneswar] (2022)
       Title of the project: Univalent functions and introduction to logarithmic coefficients
 
13. Ms. Aanchal Agarwal [IIT Bhubaneswar] (2022)
        Title of the project: Bohr's phenomenon for subordinating class and Banach spaces.
 
14. Mr. Soumyajit Acharyya (On going)
 
15. Mr. Dattatreya Biswas (On going)
 
Under graduate students:

 

1. Mr. Pranav Kumar Upadrashta, (11ME10040) [BTP, IIT Kharagpur] (2016)
    Title of the project: On the logarithmic coefficients of certain subclasses of univalent functions
    Present Position:  Completed MS at Central Michigan University, USA and now persuing Ph.D.
 
Summer Project students:
1. Mr.Diship Srivastava (11CY20015) [KVPY Fellow, IASc Bangalore]
2. Mr. Diship Srivastava (11CY20015) [Summer Internship, IIT Kharagpur]
3. Mr.Pranav Kumar Upadrashta [Summer Project, IIT Kharagpur]
4. Mr.Nirmal Barick, NIT Rourkela [Summer Project, IIT Bhubaneswar] 
5. Ms. S. Sri Lalitha, Pondicherry University [Summer Project, IIT Bhubaneswar]
 
 

 

 

 

Conferences Organised

  1. Served as one of the organizing Secretaries of ICM 2010 Satellite Conference: International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) at IIT Madras, India, during August 09-17, 2010.

  2. Organizing Secretary, International Conference on Geometric Function Theory and its Applications (ICGFTA 2014) during December 18--21, 2014 at the Department of Mathematics, IIT Kharagpur.

  3. Organized “On-Line Group Discussion on Geometric Function Theory (GFT) India” (This is online Group discussion which will be held on every alternative Saturday) from 2021-02-27 to 2021-06-01

  4. Organised Advanced Training in Mathematics School: “Instructional School for Teachers on Geometry of Complex Functions”, from 14th July 2021 to 08th August 2021, under the National Centre for Mathematics, Mumbai in collaboration with Indira Gandhi National Tribal University, M.P.

Selected Talks

International Conferences/Meetings
 
 
1)    Participated “The Current Developments in Mathematics (CDM) conference”, jointly hosted by Harvard University and the Massachusetts Institute of Technology (MIT) (through virtual mode), from 2022-03-18 to 2022-03-19.

 

2)    Invited talk: Bohr radius for Banach spaces on simply connected domains, Computational Methods in Function Theory (CMFT), The Federico Santa María Technical University in Valparaíso, Chile, January 10-14, 2022.

 

3)    Plenary talk “Bohr phenomenon for harmonic Bloch functions on simply connected domains” (with Himadri Halder) at VIII International Conference of Mathematics and Computer Science "Congressio Mathematica", University of Warmia and Mazury in Olsztyn, Poland, during September 19–25, 2022.

 

4)    Invited Talk: The Bohr phenomenon for Banach Spaces at Wuerzburg Complex Analysis Seminar, University of Wuerzburg, Germany on February 4th, 2022.

 

5)    Plenary talk “ The Bohr phenomenon for certain analytic and univalent functions” at the VI Conference of Mathematics and Computer Science, "Congressio Mathematica", University of Warmia and Mazury in Olsztyn, Poland, during November 21-22; 28–29, 2020.

 

6)    Plenary talk “ On the Third Logarithmic Coefficient of Close-to-convex Functions” (with Md Firoz Ali and D.K. Thomas) at V International Conference of Mathematics and Computer Science "Congressio Mathematica", University of Warmia and Mazury in Olsztyn, Poland, during September 23–25, 2018.

 

7)    Short Communication “Certain subclasses of harmonic univalent mappings” (with Nirupam Ghosh) in Short Communication at International Congress of Mathematicians (ICM 2018), Rio de Janeiro (Brazil) during August 1–9, 2018.

 

8)    Invited talk “On the Growth of Some Subclasses of the Class of Univalent Functions” at International Symposium in Geometric Function Theory and Applications at Isik University, Turkey during August 26-September 4, 2013.

 

9)    Invited talks “On region of variabilities for family of analytic functions” at the Department of Applied Sciences, Yamaguchi University, Ube, Japan during December 19–23, 2011.

 

10) Short Communication “ Region of variability for spirallike functions with respect to a boundary point” at International Congress of Mathematicians (ICM 2010) at Hyderabad, August 19–27, 2010.

  

11) Invited talk “ Region of variability for functions with positive real part” at ICM 2010-Satellite Conference: International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) at IIT Madras, August 09-17, 2010.

 

12) Invited talk : “Region of variability for functions with positive real part” in  Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 28, 2009.

 

13) Invited talk “Region of variability and Fekete Szeg¨o problem for exponentially convex univalent functions” in Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 14, 2009.

 

14) Invited talk “Region of variability for exponentially convex univalent functions” at International conference on Complex Analysis and Related Topics, 12th Romannian-Finnish Seminar at University Turku, Finland, August 17-21, 2009.

 

15) Invited talk “Region of variability for exponentially convex univalent functions” in Turku Analysis seminar at Department of Mathematics, University of Turku, Finland on August 07, 2009.

 

16) Invited talk “Certain classes of univalent functions and radius problems” in Turku Analysis Seminar at Department of Mathematics, University of Turku, Finland on January 30, 2008.

 

National Conferences/Meetings
 
 

1)    Invited lectures at “Annual Foundation School – I (AFS-I)” at the Department of Mathematics, NIT Durgapur, during December 12, 2022 to January 7, 2023.

 

2)    Invited talk “Bohr and Rogosinski inequalities for operator valued holomorphic functions” In the Symposium “Complex Analysis” of 37th  Annual Conference of Ramanujan Mathematical Society during 06 - 08, December 2022.

 

3)    Invited Talk: On logarithmic coefficients problem for univalent functions, One Day International Symposium on Mathematical Analysis on the occasion of National Mathematics Day (134th Birth Anniversary of Srinivasa Ramanujan) Amity University, Haryana 22-12–2022.

 

4)    Participated 36th Annual Conference of Ramanujan Mathematical Society from 2021-08-04 to 2021-08-07 (Attend through Virtual conference mode)

 

5)    Invited talk: Bohr radius for certain classes of analytic and harmonic mappings, Faculty Development Program(FDP) on Mathematical Approaches in Science and Engineering?, Koneru Lakshmaiah Education Foundation (deemed to be University), 11-02-2021

 

6)    Participated 35th Annual Conference of Ramanujan Mathematical Society from 2020-12-28 to 2020-12-30 (Attend through Virtual conference mode)

 

7)    Participated Ramanujan Mathematical Society (RMS) Pre-Conference Symposium on Complex Analysis organised by Central University, Rajasthan from 2020-12-27 to 2020-12-27 (Attend through Virtual conference mode)

 

8)    Invited talk: On logarithmic coefficients of some close-to-convex functions at International Webinar on Recent Trends in Geometric Function Theory & Applications (RTGFTA-2020), September 18-21, 2020 KIIT Deemed to be University, Bhubaneswar

 

9)    Talk: “Region of variability for certain subclasses of univalent functions” (Awarded for the Best Paper Presentation Award)at , 22nd Annual conference of Ramanujan Mathematical Society at the Department of Mathematical and Computational Sciences, National Institute of Technology Surathkal, India during June 6-8, 2007.

 
 

Teaching

Autumn-2022-23:

1) Transform Calculus (B.Tech./ Third Semester)

2) Functions of Several Variables (M.Sc./Third Semester)

 

Spring- 2021-22:

1) Mathematics-II (B.Tech./ Second Semester)

2) Complex Analysis (M.Sc./ Second Semester)

 

Autumn-2021-22:

1) Mathematics-I  (B.Tech./ First Semester)
2) Functions of Several Variables (M.Sc./Third Semester)
  

Spring-2021

Mathematics-II (MA1L002)

Advanced Complex Analysis (MA7L003)

 

Autumn-2020:

Mathematics-I (MA1L001)

 

Spring-2020

Mathematics-II (MA1L002)

Advanced Complex Analysis (MA7L003)

 

Autumn-2019:

Mathematics-I (MA1L001)

Differential Geometry  (MA5L022)

 

Summer Quarter:

Transform Calculus (MA2L005)

 

Spring-2019:

Mathematics-II (MA1L002)

Measure Theory and Integration (MA5L014)

 

Teaching at IIT Kharagpur: 

Mathematics-I (MAL101),

Mathematics-II (MA10002),

Transform Calculus (MA20101),

Linear Algebra (MA20105),

Linear Algebra (MA41003/MA30003),

Real Analysis (MA31005/MA20012),

Complex Analysis (MA41006),

Advanced Complex Analysis (MA31002),

Modern Algebra (MA30002/MA41002),

Approximation Theory (MA61049),

Measure Theory and Integration (MA51002),

Theory of Operators (MA61032)

 

 

 

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