# Jonathan Leake

## Contact

**Email:** jleake at math dot berkeley dot edu

**Office:** 1057 Evans Hall

**Hours:** By appointment.

## Research

My research interests lie in complex analysis, combinatorics, and polynomials; especially analytic questions concerning linear operators and zeros of polynomials, discrete approximation, and applications to computer science.

CV

## Publications

- J. Leake and N. Ryder,
*On the Further Structure of the Finite Free Convolutions*, arXiv:1811.06382 (November 2018).
- M. Ravichandran and J. Leake,
*Mixed Determinants and the Kadison-Singer Problem*, arXiv:1609.04195 accepted by *Math. Ann.* (October 2018).
- J. Leake,
*Capacity Preserving Operators*, arXiv:1804.04351 (October 2018).
- J. Leake and N. Ryder,
*Connecting the q-Multiplicative Convolution and the Finite Difference Convolution*, arXiv:1712.02499, submitted to *J. London Math. Soc.* (April 2018).
- J. Leake and N. Ryder,
*Generalizations of the Matching Polynomial to the Multivariate Independence Polynomial*, arXiv:1610.00805, submitted to *Algebraic Combin.* (October 2017).
- J. Leake,
*A Representation Theoretic Interpretation of the Borcea-Brändén Characterization*, arXiv:1706.06168 (June 2017).

## Invited Talks

- TBA, Deterministic Counting, Probability, and Zeros of Partition Functions, Simons Institute, UC Berkeley (March 2019).
- TBA, Beyond Randomized Rounding and the Probabilistic Method, Simons Institute, UC Berkeley (February 2019).
*Capacity Preserving Operators*, Hausdorff Geometry of Polynomials and Polynomial Sequences, Institut Mittag-Leffler, Stockholm (May 2018).
*Extending the Borcea-Brändén Characterization*, Expected Characteristic Polynomial Techniques and Applications, IPAM, UCLA (April 2018).

## Awards

- James H. Simons Fellowship, Simons Institute, UC Berkeley (March 2019).