Rushil Mallarapu
I am a third year undergraduate at Harvard studying math and statistics. Broadly, I am interested in homotopy theory and algebraic geometry, as well as applications to finance and financial mathematics!
Here is my CV.
Please feel free to contact me!
rushil_mallarapu@college.harvard.edu!
Talks and Writing
- A Condensed Intro to Condensed Math, at Babytop Spring 2024.
- A Walk Through the Weil Conjectures, for the Fall 2023 Directed Reading Program.
- Itô Diffusions and the Dirichlet Problem, for my final presentation for Math 289Y: Topics in Geometric PDE.
- Abelian Varieties and the Serre-Tate Theorem, at Babytop Fall 2023.
- Complex Bordism and Complex Orientations, at Chromatic Nullstellensatz Seminar.
- THH and Bökstedt Periodicity: for the Fall 2022 Directed Reading Program.
- The Motivic Purity Theorem: for my final paper for homotopy theory, for Math 272Z: Motives at \(p\).
- Fast times at \(\mathcal{M}_{fg}\), for my final paper for Math 99R: Moduli Problems and Stacks.
- Tensors at Twilight, for a masterclass on tensors for Math 55.
- Bousfield Localizations Before Lunch, at Kan Seminar.
- The May Nilpotence Theorem, at Juvitop Fall 2022, the MIT graduate topology seminar.
- Semi-Simplicial Complexes and Postnikov Systems, at Kan Seminar.
- Proof of Nilpotence Theorem, at Chroma 2022.
- The Ravenel Conjectures and the Chromatic Decomposition, at Chroma 2022.
- Practical Homotopy Colimits, for the Spring 2022 Directed Reading Program.
- Foundations of \(\infty\)-Operads, at \((\infty, 1)\)-Seminar.
Teaching and Organizing
- In Spring 2024, I am TFing Stat 171, Intro to Stochastic Processes, with Prof. Subhabrata Sen.
- In Fall 2023, I was TFing Stat 110, Introduction to Probability, with Prof. Joe Blitzstein.
- In Summer 2023, I was at the UChicago Mathematics REU, working on motivic homotopy theory with Prof. Peter May and Prof. Mark Behrens.
- In Spring 2023, I was CAing Math 101, Introduction to Proof, with Prof. Janet Chen, and TFing Stat 171, Intro to Stochastic Processes, with Prof. Subhabrata Sen.
- In Winter 2023, I cotaught Galois 2023 with Yuyuan Luo, a 3-week-long intensive course on Galois theory and étale fundamental groups. See here for in-progress lecture notes.
- In Fall 2022, I was TFing Stat 110, Introduction to Probability, with Prof. Joe Blitzstein.
- In Summer 2022, I organized Chroma 2022, a summer seminar on chromatic homotopy theory!
Selected Coursework
Spring 2024:
- Math 99R, Integrable Systems
- Math 213BR, Riemann Surfaces
- Math 256X, The Telescope Conjecture
- MIT 18.676, Stochastic Calculus
- Stat 291, Random High-Dimensional Optimization
- Econ 1723, Capital Markets
Fall 2023:
- Math 289Y, Geometric PDE
- Math 293X, Topological Modular Forms
- MIT 18.965, Geometry of Manifolds
- Stat 211, Graduate Inference I
Spring 2023:
- Math 222, Algebraic Groups
- MIT 18.726, Algebraic Geometry II
- MIT 18.917, Knots and Primes
- Stat 111, Intro to Statistical Inference
- Stat 91R, Math in Statistics Reading Group
Fall 2022:
- Math 99R, Moduli Problems and Stacks
- Math 272Z, Motives at \(p\)
- MIT 18.919, Graduate Topology Seminar (Kan Seminar)
- Stat 210, Graduate Probability I
Spring 2022:
- Math 55B, Studies in Real and Complex Analysis
- Math 231BR, Advanced Algebraic Topology
- Stat 123, Applied Quantitative Finance
- Stat 171, Intro to Stochastic Processes
Fall 2021:
- Math 55A, Studies in Algebra and Group Theory
- Stat 110, Intro to Probability
- Econ 1011A, Intro to Microeconomics