Srimathy Srinivasan

Department of Mathematics,
University of Colorado, Boulder
Colorado, USA
E-mail: "myfirstname.mylastname"@colorado.edu

I am a visiting lecturer at the University of Colorado, Boulder. Previously I was a postdoctoral member at the Institute for Advanced Study, Princeton. I got my PhD in mathematics from the University of Maryland in the August of 2016, under the supervision of Patrick Brosnan.

My primary research interest is broadly in algebra, algebraic geometry and arithmetic algebraic geometry. More specifically, the topics of interest include algebraic groups, group schemes and the associated representation theory, local-global principles, characterizations and classifications via cohomological methods, complete homogeneous varieties, (Chow) motives, Azumaya algebras and Brauer groups over general schemes. I have also worked in coding theory and graph based codes in the past during my Master's engineering program.

My education, awards, teaching/work experience can be found here in my CV.

Publications

"A finiteness theorem for special unitary groups of quaternionic skew-hermitian forms with good reduction ", Documenta Mathematica, Vol. 25, 2020, pp. 1171-1194
Arxiv: https://arxiv.org/abs/1906.01414

"A short proof that all linear codes are weakly algebraic-geometric using Bertini theorems of B.Poonen", Volume 343, Issue 6, June 2020, Discrete Mathematics
Arxiv: https://arxiv.org/pdf/1303.3341.pdf

"Correction to: Motivic Decomposition of Projective Pseudo-homogeneous Varieties", Transformation Groups (2019), pages 1-3

"Motivic Decomposition of Projective Pseudo-homogeneous Varieties" Transformation Groups, December 2017, Volume 22, Issue 4, pp 1125-1142
Arxiv: https://arxiv.org/abs/1509.06306

(with Andrew Thangaraj), "Codes on planar graphs", Advances in Mathematics of Communications, pages 131 - 163, Volume 6, Issue 2, May 2012
Arxiv: http://arxiv.org/abs/0904.0768

(with Andrew Thangaraj), "Codes That have Tanner Graphs with Non-Overlapping Cycles", International Symposium on Turbo Codes and Related Topics, Lausanne, Switzerland, September 2008
http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4658715

Preprints

"Azumaya algebras with involution and classical semisimple group schemes", June 2020 (under review).
Arxiv: https://arxiv.org/abs/2006.01699

(With David Grant, John D. Massman, III) "Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol", September 2020 (submitted)
Arxiv: https://arxiv.org/abs/2009.09311

Current Teaching

MATH 2130, Linear Algebra, University of Colorado, Boulder

Past Teaching at University of Maryland

MATH 240, Linear Algebra, Fall 2015 (TA)
MATH 241, Calculus III, Spring 2014 (TA)
MATH 241, Calculus III, Fall 2013 (TA)
MATH 240, Linear Algebra, Summer 2013 (Teacher)
MATH 240, Linear Algebra, Spring 2013 (TA)
MATH 140, Calculus I, Summer 2012 (Teacher)
MATH 141, Calculus II, Fall 2011 (TA)
MATH 140, Calculus I, Fall 2009 (TA)

Central Simple Algebras

A good introduction to the theory of Central Simple Algebras and the Brauer groups can be found in the book "Non-Commutative Algebra" by Benson Farb and Keith Dennis. One can learn the theory in depth by doing the problem listed in Chapter 4 of the book. I have written solutions to these problems. The solutions are self contained in the sense that you do not need any other reference to quote a lemma or theroem. Click here for Solutions to the Problems.