Karan Srivastava

Karan Srivastava

PhD Student, Mathematics

University of Wisconsin-Madison

Welcome!

I’m a third year PhD student in mathematics. I’m broadly interested in algebraic geometry - a cool field of pure math about studying (polynomial) surfaces using the tools of symmetries and algebra - and machine learning - a cool field of computer science about studying how computers can learn to perform tasks with high accuracy with little to no prior knowledge about the task itself.

Currently, my research focusses on studying incomplete data through the lens of algebraic geometry. Some other questions I ponder include how machine learning can be used as a tool to aid mathematicians, how pure math and algebra can be used to create new methods of data completion, and what connections can we find between algebraic geometry and machine learning. I’m always on the lookout for interesting questions to work on and am interested in exploring questions in these fields. I’m also affiliated with the Wisconsin Institute for Discovery

I was born in Kolkata, India - a city rich in history and culture with bustling streets and great food - and lived there until I moved to the calmer lands of Illinois, where I got my BSc in Mathematics at the University of Illinois at Urbana-Champaign. I also spent a semester at the Independent University of Moscow as a part of the Math in Moscow study abroad program.

Download my resumé.

Interests
  • Algebraic Geometry
  • Machine Learning
Education
  • PhD in Mathematics, 2025

    University of Wisconsin-Madison

  • BSc in Mathematics, 2020

    University of Illinois at Urbana-Champaign

Education

 
 
 
 
 
PhD in Mathematics
University of Wisconsin-Madison
Aug 2020 – Present Madison
I am currently interested in problems in algebraic geometry and machine learning. I am curious about how machine learning can be used in algebraic geometry and number theory to inform conjectures and guide research; I am also interested in thinking about how tools from algebraic geometry can be used to solve problems in machine learning and data completion. I am doing a graduate minor in Computer Science.
 
 
 
 
 
BSc in Mathematics
University of Illinois at Urbana-Champaign
Aug 2016 – May 2020 Urbana-Champaign
I took various graduate level courses in algebraic geometry, commutative algebra, and algebraic topology at UIUC. I had the opportunity to work on research projects with Susan Tolman, studying Cremona transformations on Symplectic Manifolds, Dominic Culver, in studying Weierstrass equations for elliptic curves, and Zoi Rapti, in studying mathematical models of coevolutionary biology.
I also took some time to explore the math world in a literal sense and participated in the Math in Moscow study abroad program in my third year - a challenging and engaging experience that shaped my early interest in algebraic geometry.

Publications

(2022). A Perturbation Bound on the Subspace Estimator from Canonical Projections. IEEE ISIT 2022.

PDF Cite DOI

Talks

A Perturbation Bound on the Subspace Estimator from Canonical Projections
Conference Talk, Espoo, Finland
An 'almost impossible' puzzle and group theory
AMS Student Chapter Seminar, Madison, WI
Why people say "I can't do math"
PCMI Ignite Talks, Park City, UT

Organizations

Here are some organizations I’m … organizing.

Madison Experimental Mathematics Lab
UW - Madison, Madison, WI
Undergraduate Mentor Program
UW - Madison, Madison, WI
Directed Reading Program
UW - Madison, Madison, WI
Math Circle
UW - Madison, Madison, WI

Teaching

I love teaching! Here are the classes that I’ve taught as a teaching assistant:

Math 221 - Calculus and Analytic Geometry 1 - Fall 2020
Math 211 - Calculus - Spring 2021, Fall 2021
Math 222 - Calculus and Analytic Geometry 2 - Summer 2021
Math 240 - Intro to Discrete Mathematics - Summer 2022

Here are worksheets that I’ve written.

Contact