M A N I S H   M.   P A T N A I K



Associate Professor &
M.V. Subbarao Professor of Number Theory
University of Alberta
Department of Mathematical and Statistical Sciences
Edmonton, AB T6G 2G1

Office location: 577 CAB
email: lastname at ualberta dot ca


P E O P L E

present:

Mathieu Dutour (Postdoctoral Fellow, 2020 - )
Punya Satpathy (Postdoctoral Fellow, 2021 - )

former:

Abid Ali (PhD, 2013-2019) Hill Assistant Professor, Rutgers University
Valentin Buciumas (Postdoctoral Fellow, 2020-2021) Postdoc, U. Amsterdam
Karol Koziol (Postdoctoral fellow, 2018-2019) Assistant Professor, CUNY Baruch
Ryan Morrill (MSc student, 2014-2017) PhD Student, University of Calgary
Dinakar Muthiah (PIMS postdoctoral fellow, 2015-2017) Lecturer, University of Glasgow
Anna Puskas (Postdoctoral Fellow, 2014-2017) Lecturer, University of Queensland

S E M I N A R S

    Geometry, Algebra, and Physics (GAP), Fall 2021
    Geometry, Number Theory, and Representation Theory, Winter 2021

R E S E A R C H

Infinite Rank Hermitian Lattices and Loop Groups (w/ M. Dutour), pdf
   to appear in proceedings of M.V. Subbarao Centennial volume

Metaplectic Kac-Moody Groups and Whittaker Functions (w/ A. Puskas), pdf
   in Duke Mathematical Journal (168) no. 4 pp. 553-653.

On Iwahori-Whittaer Functions for Metaplectic Groups (w/ A. Puskas), pdf
    in Advances in Mathematics (313) pp. 875-914

Unramified Whittaker Functions on p-adic Loop Groups, pdf
    in American Journal of Mathematics (139) no. 1, pp. 175-215

Entirety of Cuspidal Eisenstein Series on Loop Groups (w/ H. Garland and S.D. Miller), pdf
    in American Journal of Mathematics (139) no. 2, pp. 461-512

 An Affine Gindikin-Karpelevic Formula (w/ A. Braverman, H. Garland, and D. Kazhdan), pdf
    in "Perspectives in Representation Theory" for Igor Frenkel's 60th birthday, Contemporary Mathematics (AMS) (610) pp. 43-64

Iwahori-Hecke Algebras for p-adic Loop Groups (w/ A. Braverman and D. Kazhdan), pdf
     in Inventiones Mathematicae (204) no. 2 , pp. 347-442 

Geometry of Loop Eisenstein Series (w/ H. Garland), pdf
    Yale University PhD 2008

Vertex Algebras as Bialgebras: On a Theorem of Borcherds, pdf
     in "Communicating Mathematics" for Joe Gallian's 65th birthday, Contemporary Mathematics (AMS) (479) pp. 223-238
    
Isometry Dimension of Finite Groups, pdf
    in Journal of Algebra (246) pp. 641-646 (2001)