• Profile: Wendell Ressler
Professor of Mathematics, Chair of Computer Science
Mathematics & Computer Science

717-291-3878

jraqryy.erffyre@snaqz.rqh

Office: STA202

Research

My field is analytic number theory.  I study automorphic forms (and automorphic integrals), Dirichlet series, and Hecke correspondence.  I am especially interested in Hecke groups, rational period functions, binary quadratic forms and continued fractions. 

Publications

  • W. Ressler, Hecke symmetry and rational period functions, Ramanujan J., doi: 10.1007/s11139-014-9653-9. [pdf]

  • G. Hoang and W. Ressler, Conjugacy classes and binary quadratic forms for the Hecke groups, Canad. Math. Bull. 56 (2013), pp. 570–583. [pdf]
  • W. Ressler, A Hecke correspondence theorem for automorphic integrals with symmetric rational period functions on the Hecke groups, J. Number Theory 130 (2010), pp. 2732–2744. [pdf]
  • W. Ressler, On binary quadratic forms and the Hecke groups, Int. J. Number Theory 5 (2009), pp. 1401-1418. [pdf]
  • W. Culp-Ressler, Rational period functions on the Hecke groups, Ramanujan J. 5 (2001), pp. 281-294. [pdf]
  • W. Culp-Ressler and W. Pribitkin, A note on Siegel's proof of Hamburger's Theorem, Contemp. Math. 251 (2000), pp.135-140. [pdf]
  • W. Culp-Ressler, K. Flood, Sr. A. Heath, and W. Pribitkin, On solutions to Riemann's functional equation, Ramanujan J. 4 (2000), pp. 5-9. [pdf]
  • W. Culp-Ressler, A Hecke correspondence theorem for modular integrals with rational period functions, Illinois J. Math. 40 (1996), pp. 586-605. [pdf]

Selected Talks

  • “The second relation for rational period functions and remainder terms in Hecke correspondence,” Bryn Mawr Summer Seminar, July 1, 2015. 

  • “Conjugacy classes for the Hecke groups and related binary quadratic forms,” 29th Automorphic Forms Workshop, University of Michigan, Ann Arbor, March 3, 2015. [pdf]
  • “A Perfect Mystery,” Quest For Learning, April 4, 2013. [pdf]
  • “Conjugacy classes and binary quadratic forms for the Hecke groups, II,” Bryn Mawr Summer Seminar, July 12, 2012. [pdf]
  • “Conjugacy classes and binary quadratic forms for the Hecke groups,” Bryn Mawr Summer Seminar, June 28, 2012. [pdf]
  • “Conjugacy classes and binary quadratic forms for the Hecke groups,” Joint Mathematics Colloquium, Franklin & Marshall College and Millersville University, September 28, 2011. [pdf]
  • “A Hecke Correspondence Theorem for Automorphic Integrals with Symmetric Rational Period Functions on the Hecke Groups,” Joint Mathematics Meetings, Washington DC, January 7, 2009. [pdf]

Courses

Fall 2015
  • Math 111  Calculus III
  • Math 325  Number Theory
Previous semesters
  • Math 109  Calculus I
  • Math 110  Calculus II
  • Math 111  Calculus III
  • Math 211  Introduction to Higher Mathematics
  • Math 229  Linear Algebra and Differential Equations
  • Math 325  Number Theory
  • Math 329  Fourier Series
  • Math 331  Introduction to Analysis
  • Math 442  Complex Analysis
  • Math 471  Topics in Analytic Number Theory