abhash.mat's picture
Dr. Abhash Kumar Jha
Assistant Professor
Department of Mathematical Sciences
Email:- abhash.mat@iitbhu.ac.in
Office No.:- 304
Area of Interest: 
Number theory and automorphic forms, elliptic and Siegel modular forms, Jacobi forms.

Current position:
Assistant Professor, Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi:  June 09, 2020 - present.

Previous positions:
Assistant Professor, Department of Mathematics, BHU, Varanasi, Jan 16 - June 09, 2020.
Post-doctoral fellow, Harish-Chandra Research Institute, Allahabad, May 2020 - Jan 15, 2020.
SERB-NPDF, IISc., Bangalore, (Postdoc Mentor: Dr. Soumya Das), March 2017 - April 2019.

Education:
Ph.D.,  NISER, Bhubaneswar (Thesis Advisor: Dr. Brundaban Sahu).
M.Sc.,  BHU, Varanasi.
B.Sc.,  U. P. College, Varanasi.

  • Determining Siegel modular forms of half-integral weight by their fundamental Fourier coefficients, Acta Arithmetica., 195 (2020), no. 3, 269-279
  • Analytic properties of twisted real-analytic Hermitian Klingen type Eisenstein series and applications (with S. Das), Abh. Math. Semin. Univ. Hambg., 89 (2019), no. 2, 105-116.
  • Differential operators on Jacobi forms and special values of certain Dirichlet series (with B. Sahu), Automorphic forms and related topics, 91-99, Contemp. Math., 732, Amer. Math. Soc., Providence, RI, 2019.
  • On simultaneous non-vanishing of twisted L-function associated to newforms on Γ0(N) (with A. Juyal and M. K. Pandey), Journal of the Ramanujan Mathematical Society, 34 (2019), no. 2, 245-252.
  • Rankin-Cohen brackets on Jacobi forms of several variables and special values of certain Dirichlet series (with B. Sahu), Int. J. Number Theory, 15 (2019), no. 5, 925-933.
  • Construction of cusp forms using Rankin-Cohen brackets (with A. Kumar), Analytic number theory, modular forms and q-hypergeometric series, 329-341, Springer Proc. Math. Stat., 221, Springer, Cham, 2017.
  • Rankin-Cohen brackets on Siegel modular forms and special values of certain Dirichlet series (with B. Sahu), Ramanujan Journal, 44 (2017), no. 1, 63 - 73. 
  • Rankin-Cohen brackets on Jacobi forms and the adjoint of some linear maps (with B. Sahu), Ramanujan Journal, 39 (2016), no. 3, 533-544. 
  • MTB:607 Number Theory (Jan-April, 2020) - BHU
  • MTB: 201 Multivariable Calculus (Jan-April, 2020) - BHU

Seminars & Talks:

  • Determining Siegel modular forms by their fundamental Fourier coefficients, (August 08, 2019), Postdoc seminar, HRI, Allahabad.
  • Fundamental Fourier coefficients of Siegel modular forms of half-integral weight, In-house symposium (March 28-29, 2019), IISc Bangalore.
  • Fundamental Fourier coefficients of Siegel modular forms, Workshop on number theory (November 30-December 06, 2018), NISER Bhubaneswar, India. 
  • Non-vanishing of the Fourier-Jacobi coefficients of modular forms, Workshop on modular forms (October 03-14, 2018) at KSOM Kozhikode, India. 
  • Characteristic twist of certain Dirichlet series attached to modular form, Workshop on modular forms (February 22-24, 2018), KSOM Kozhikode, India. 
  • Rankin-Cohen bracket of Jacobi forms and certain Dirichlet series, Discussion Meeting on Automorphic Forms (December 21-27, 2016), NISER Bhubaneswar, India. 
  • Construction of certain Siegel cusp forms, Conference on Modular Forms (September 04, 2016), IISER Bhopal, India. 
  • Construction of certain Siegel and Jacobi cusp forms, Building Bridges: 3rd EU/US Summer School & Workshop on Automorphic Forms and Related Topics (July 11-22, 2016), University of Sarajevo, Bosnia and Herzegovina. 
  • Rankin-Cohen brackets on Siegel modular forms and special values of certain Dirichlet series, The 2016 Gainesville International Number Theory Conference (March 17-21, 2016), University of Florida, Gainesville, USA. 
  • Rankin-Cohen brackets on Siegel modular forms of genus two and certain Dirichlet series, 30th Automorphic Forms Workshop (March 07-10, 2016) Wake Forest University, Winston-Salem, North Carolina, USA. 
  • The Adjoint of some linear maps constructed using Rankin-Cohen brackets and special values of certain Dirichlet series, Thesis Colloquium, April 25, 2016, NISER, Bhubaneswar, India. 
  • Construction of cusp forms using Rankin-Cohen brackets, Workshop on Automorphic Forms (February 10-16, 2016), Kerala School of Mathematics, Kozhikode,  Kerala, India. 
  • Adjoint of some linear maps on the space of Jacobi cusp forms, Mathematics Seminar, October 27, 2014, NISER, Bhubaneswar, India. 
  • The Stone-Čech compactification, Mathematics Seminar, September 08, 2014, NISER, Bhubaneswar, India. 
  • Special values of certain L-functions, April 21, 2014, NISER, Bhubaneswar, India. 
  • Evaluation of convolution sums involving divisor functions using elementary methods and modular forms, State of the art seminar, February 19, 2013,  NISER, Bhubaneswar, India.                                                                                                                                                                        
     

Workshops & Conferences attended:

  • October 16-19, 2019, International conference on "class group of number fields and related topics", HRI Allahabad.
  • February 25 - March 07, 2019, Algebraic and Analytic Aspects of Automorphic Forms, ICTS, Bangalore.
  • December 10 - 14, 2018, International Conference in Number Theory, Kerala School of Mathematics, Kozhikode, India.
  • November 30 - December 06, 2018, Workshop on number theory, NISER Bhubaneswar, India.
  • October 03 - 14, 2018, Workshop on modular forms, Kerala School of Mathematics, Kozhikode, India.
  • February 12 - 24, 2018, Workshop on modular forms, Kerala School of Mathematics, Kozhikode, India.
  • December 26 - 30, 2017, ATM workshop in Analytic Number Theory, Indian Statistical Institute (ISI), Kolkata, India.
  • January 05 - 14, 2017, School and Workshop on Modular Forms and Black Holes, NISER Bhubaneswar, India.
  • December 21 - 27, 2016, Discussion Meeting on Automorphic Forms, NISER Bhubaneswar, India.
  • September 04, 2016, Conference on Modular Forms, IISER Bhopal, India.
  • August 17 - 21, 2016, Number Theory Conference on "Arithmetic Geometry and L- functions", Kerala School of Mathematics, Kozhikode, India.
  • July 11 - 22, 2016, Building Bridges: 3rd EU/US Summer School & Workshop on Automorphic Forms, University of Sarajevo, Bosnia and Herzegovina.
  • June 13 - July 02, 2016, Advanced Instructional School in Analytic Theory of Algebraic Numbers, School of Computer Applications, KIIT University, Bhubaneswar, India.
  • March 17 - 21, 2016, The 2016 Gainesville International Number Theory Conference, University of Florida, Gainesville, USA.
  • March 07 - 10, 2016, 30th Automorphic Forms Workshop, Wake Forest University, Winston-Salem, North Carolina, USA.
  • February 10 - 16, 2016, Workshop on Automorphic Forms, Kerala School of Mathematics, Kozhikode, India.
  • October 19 - 24, 2015, ATM workshop in Analytic Number theory, The Institute of Mathematical Sciences (IMSc), Chennai.
  • June 01 - 20, 2015, Advanced Instructional School in Analytic Number Theory, School of Computer Applications, KIIT University, Bhubaneswar, India.
  • February 13 - 14, 2015, International conference on "Automorphic Forms and Applications", Kerala School of Mathematics, Kozhikode, India.
  • February 02 - 12, 2015, Workshop on "Jacobi Forms and Modular forms of half-integral weight", Kerala School of Mathematics, Kozhikode, India.
  • December 08 - 17, 2014, Winter School on "Modular Functions of One and Several Variables",  Goa University, Goa, India.
  • July 07 - 26, 2014, Advanced Instructional School in Algebraic Number Theory, Chennai Mathematical Institute, Chennai, India.
  • February 19 - March 05, 2014, Discussion Meeting on Algebraic Curves, Harish-Chandra Research Institute, Allahabad, India,
  • November 18 - 30, 2013, International CIMPA Research School and conference on  "Fourier Analysis of Groups in Combinatorics", NEHU Shillong, India,
  • June 10 - 29, 2013, Advanced Instructional School in Analytic Number Theory, School of Computer Applications, KIIT University, Bhubaneswar, India.
  • December 17 - 22, 2012, The Legacy of Srinivasa Ramanujan Conference, University of Delhi, Delhi, India.
  • October 03 - 19, 2012, School on Modular Forms, Kerala School of Mathematics, Kozhikode, India.
  • July 06 - 31, 2012, Annual Foundation School-III, Harish-Chandra Research Institute, Allahabad, India.
  • June 04 - 30, 2012, Annual Foundation School-II, University of Pune, Pune, India.
  • December 05 - 31, 2011, Annual Foundation School-I, IISER, Pune, India.
  • May 02 - 11, 2011, Workshop on Differential Geometry, Banaras Hindu University, Varanasi, India.
  • March 21 - April 02, 2011, ATM School in Geometric Complex Analysis, University of Delhi, Delhi, India.
  • June 21 - July 03, 2009, Advanced Training Programme in Functional Analysis, Banaras Hindu University, Varanasi, India.