Michael Dewar

NSERC Postdoctoral Fellow, July 2010-June 2012
Coleman Postdoctoral Fellow, July 2012-June 2013

517 Jeffery Hall
Department of Mathematics and Statistics
Queen's University
Kingston, ON K7L 3N6, Canada

e-mail: mdewar@mast.queensu.ca

Research Interests:
Modular forms, Jacobi forms, harmonic weak Maass forms.

I graduated from the University of Illinois at Urbana-Champaign in May 2010. My advisor was Scott Ahlgren. Here is a copy of my thesis. Here is my CV. I am currently working with Ram Murty.

Publications:

[10] Michael Dewar. The image and kernel of Atkin's $U_p$ operator modulo $p$. Proc. Amer. Math. Soc., to appear.

[9] Michael Dewar. Non-existence of Ramanujan congruences in modular forms of level four. Canad. J. Math., to appear.

[8] Michael Dewar. On the non-existence of simple congruences for quotients of Eisenstein series. Acta Arith., 145(1):33-41, 2010.

[7] Michael Dewar and Olav Richter. Ramanujan congruences for Siegel modular forms. Int. J. Number Theory, 6(7):1677-1687, 2010.

[6] Michael Dewar. The nonholomorphic parts of certain weak Maass forms. J. Number Theory, 130(3): 559-573, 2010.

[5] Michael Dewar, Lucia Moura, Daniel Panario, Brett Stevens, and Qiang Wang. Division of trinomials by pentanomials and orthogonal arrays. Des. Codes Cryptogr., 45(1):1-17, 2007.

[4] Stephen D. Cohen, Michael Dewar, John B. Friedlander, Daniel Panario, and Igor E. Shparlinski. Polynomial Gauss sums. Proc. Amer. Math. Soc., 133(8):2225-2231 (electronic), 2005.

[3] Michael Dewar, Daniel Panario, and Igor E. Shparlinski. Distribution of exponential functions with k-full exponent modulo a prime. Indag. Math. (N.S.), 15(4):497-503, 2004.

[2] Michael Dewar and Daniel Panario. Mutual irreducibility of certain polynomials. In Finite fields and applications, volume 2948 of Lecture Notes in Comput. Sci., pages 59-68. Springer, Berlin, 2004.

[1] Michael Dewar and Daniel Panario. Linear transformation shift registers. IEEE Trans. Inform. Theory, 49(8):2047-2052, 2003.

Talks & Conferences

[10]	Michael Dewar. The image and kernel of Atkin's $U_p$ operator modulo $p$. Proc. Amer. Math. Soc., to appear.
[9]	Michael Dewar. Non-existence of Ramanujan congruences in modular forms of level four. Canad. J. Math., to appear.
[8]	Michael Dewar. On the non-existence of simple congruences for quotients of Eisenstein series. Acta Arith., 145(1):33-41, 2010.
[7]	Michael Dewar and Olav Richter. Ramanujan congruences for Siegel modular forms. Int. J. Number Theory, 6(7):1677-1687, 2010.
[6]	Michael Dewar. The nonholomorphic parts of certain weak Maass forms. J. Number Theory, 130(3): 559-573, 2010.
[5]	Michael Dewar, Lucia Moura, Daniel Panario, Brett Stevens, and Qiang Wang. Division of trinomials by pentanomials and orthogonal arrays. Des. Codes Cryptogr., 45(1):1-17, 2007.
[4]	Stephen D. Cohen, Michael Dewar, John B. Friedlander, Daniel Panario, and Igor E. Shparlinski. Polynomial Gauss sums. Proc. Amer. Math. Soc., 133(8):2225-2231 (electronic), 2005.
[3]	Michael Dewar, Daniel Panario, and Igor E. Shparlinski. Distribution of exponential functions with k-full exponent modulo a prime. Indag. Math. (N.S.), 15(4):497-503, 2004.
[2]	Michael Dewar and Daniel Panario. Mutual irreducibility of certain polynomials. In Finite fields and applications, volume 2948 of Lecture Notes in Comput. Sci., pages 59-68. Springer, Berlin, 2004.
[1]	Michael Dewar and Daniel Panario. Linear transformation shift registers. IEEE Trans. Inform. Theory, 49(8):2047-2052, 2003.