I am Shalin Parekh, a math postdoc at UMD College Park.

Broadly speaking, I am interested in probability theory and its applications. Currently, I am thinking about anomalous fluctuations arising from random walks in random media.

You can reach me at parekh [at] umd [dot] edu. If you're at Maryland, visit me in office 2303 Kirwan Hall!

Here is a rough CV.

Research

9. Invariance principle for the KPZ equation arising in stochastic flows of kernels. Preprint, 2024. (arXiv)

8. KPZ equation limit of random walks in random environments. with Sayan Das and Hindy Drillick. Preprint, 2023. (arXiv)

7. A nonlinear Strassen law for singular SPDEs. Submitted, 2023. (arXiv)

6. KPZ equation limit of sticky Brownian motion, with Sayan Das and Hindy Drillick. Submitted, 2023. (arXiv)

5. Ergodicity results for the open KPZ equation. to appear in Ann. Inst. H. Poincare Probab. et Stat., 2024. (arXiv)

4. Convergence of ASEP to KPZ with basic coupling of the dynamics. Stoch. Proc. Appl., 2022. (arXiv)

3. Limit shape of subpartition-maximizing partitions, with Ivan Corwin. J. Stat. Phys, 2020. (arXiv)

2. Positive random walks and an identity for half-space SPDEs. Electron. J. Probab., 2022. (arXiv)

1. The KPZ limit of ASEP with boundary. Comm. Math. Phys., 2018. (arXiv)