Hey, I'm Slava. My email is slava@naprienko.com. Here's my CV.

I am a Ph.D. student in Mathematics at Stanford University. I work under the guidance of Daniel Bump on the exactly solvable lattice models, algebraic combinatorics, and the representation theory of p-adic groups.

I am in my fifth year, and I will be in the job market in the Fall of 2022.

I am a 2018 recipient of the Stanford Graduate Fellowship (the William R. Hewlett Fellow). *The program was initiated by Gerhard Casper, then President of Stanford University, and is designed to support the University's commitment to attracting the very best graduate students while reducing its dependence on federal funding for PhD training.*

At the moment, I work a lot on the exactly solvable lattice models: I find new solutions of the Yang-Baxter equation, study their properties, and compute the partition functions of the integrable lattice models, which have applications in algebraic combinatorics and symmetric functions.

I will be happy to give a talk at a seminar or conference!

Papers:

- Combinatorics of Iwahori Whittaker Functions
- A convergent 1/n-expansion for GSE and GOE
- An approach to define the resultant of two entire functions, with Alexander M. Kytmanov. Complex variables and elliptic equations 62.2 (2017): 269-286

In progress:

- Classification of integrable six-vertex models, draft available by request
- Free-fermionic Schur functions, draft available by request
- Partition functions of the six-vertex models
- Classification of bosonic lattice models

Expository materials:

Temporarily not active. We plan to resume in the Fall of 2022.

I organize a weekly seminar on the exactly solvable lattice models. The topics of the seminar varies from general integrability to the applications in the representation theory of p-adic groups, quantum groups, algebraic combinatorics, special functions, combinatorics, and probability.

We meet on Tuesdays at 2 pm PT (Pacific Time). See the seminar website for the list of speakers, announcements, notes, video recordings, and other supplementary materials. Videos from the seminar are also available on YouTube.

- Mentor, Stanford Undergraduate Research Institute in Mathematics 2021. My students found two novel proofs of Tokuyama's formula and made progress in extending results for the symplectic case.
- Mentor, Stanford Undergraduate Research Institute in Mathematics 2022. My students found the partition functions of the six-vertex model for new categories of weights and various boundaries (in progress).

- Integrability of the Six-Vertex Model at Solvable Lattice Models Seminar (notes)
- Tokuyama's Formula—Combinatorics of Deformed Schur Polynomials at Graduate Algebra and Representation Theory Seminar
- How to Come Up with Solvable Lattice Models? at Solvable Lattice Models Seminar (notes, video)

I am a 2021 recipient of the Robert Osserman Teaching Award. *Established in 2019 and named in honor of Robert Osserman, Professor of Mathematics at Stanford from 1955 to 1990, this award honors PhD students for outstanding contributions as a TA.*

My recent teaching experience:

- Mentor, the Stanford Undergraduate Research Institute in Mathematics
- Instructor, the Stanford Online Academic Resources
- Teaching assistant, Stanford MATH 107: Graph theory (feedback)
- Teaching assistant, Stanford MATH 53: Differential Equations with Linear Algebra, Fourier Methods, and Modern Applications (feedback)
- Instructor, the Leland Scholars Program (research poster, class photo, and feedback)
- Mentor, the Stanford Undergraduate Research Institute in Mathematics (the final presentation and the final project.)
- Teaching assistant, Stanford MATH 52: Integral Calculus of Several Variables (feedback)
- Teaching assistant, Stanford MATH 20: Calculus(feedback)
- Instructor, Stanford Pre-Collegiate Studies: Mathematical Logic and Problem Solving
- Instructor, Stanford Pre-Collegiate Summer Institutes: Cryptography
- Teaching assistant, Stanford University Mathematics Camp: Abstract Algebra
- Mentor, Stanford Math Directed Reading Program: Game Theory
- Teaching assistant, Stanford MATH 171: Fundamental Concepts of Analysis

- Thuses, an online publishing platform for mathematicians (temporarily not active)
- Azat Miftakhov website (for recent updates follow the case of Azat Miftakhov)
- How I fell in Love with Math