Todd Kemp
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Contact Info
Todd Kemp
Assistant Professor, UC San Diego
Visiting Assistant Professor, MIT
Department of Mathematics, 2-175
Massachusetts Institute of Technology
Cambridge, MA 02139
Phone: (617) 253-4384
Fax: (617) 253-4358
E-mail: tkemp@math.mit.edu
Research
I work primarily in functional analysis (free probability and q-deformed probability; heat kernel analysis). I also work in probability theory (stochastic analysis, random matrices), harmonic analysis (L_p spaces of holomorphic and subharmonic functions), and combinatorics (partition lattices and associated enumeration problems).
I am advising a graduate student, Natasa Blitvic. She is a student in the Department of Electrical Engineering and Computer Science (Course 6) at MIT. I am co-advising her with David Gamarnik, on faculty in the Sloan School of Management at MIT. Her work is in free probability, q-deformed probability, random matrices, and random graphs.
I organize the MIT Probability Seminar, together with Lionel Levine, Scott Sheffied, and Dan Stroock.
For a recent Research Statement, please see Kemp-Research-2008.pdf
Publications
Published work:
- Hypercontractivity in non-commutative holomorphic spaces. Commun. Math. Phys. 259 no. 3, 615-637 (2005) Kemp-CMP-2005.pdf
- Strong Haagerup inequalities for free R-diagonal elements. J. Funct. Anal. 251, 141-173 (2007) [With Roland Speicher] Kemp-Speicher-JFA-2007.pdf
- R-diagonal dilation semigroups. Math. Z. 264, 111-136 (2010) R-diag-Dilation.pdf
- Resolvents of R-diagonal operators. To appear in Trans. Amer. Math. Soc. [With Uffe Haagerup and Roland Speicher] Resolvent.pdf
- Hypercontractivity for log-subharmonic functions. To appear in J. Funct. Anal. [With Piotr Graczyk and Jean-Jacques Loeb]. GKL-2009.pdf
Submitted work:
- Enumeration of non-crossing pairings on bitstrings. Submitted. [With Karl Mahlburg, Amarpreet Rattan, and Clifford Smyth] KMRS-2009.pdf
In preparation:
- Free chaos and the semi-circle law. [With Roland Speicher]
- Convex posets in non-crossing pairings on bitstrings. [REU 2007: with Evan Chou, Anna Fricano, Julius Poh, Billy Shore, Gwyn Whieldon, Tony Wong, and Yan Zhang]
- A note on the norm of the q-circular operator. [With Tony Wong.]
- Logarithmic Sobolev inequalities for subharmonic functions. [With Piotr Graczyk and Jean-Jacqes Loeb]
- Holomorphic Sections and duality in the Segal-Bargmann space. [With Will Gryc]
- On strong hypercontractivity in q-holomorphic spaces. [With Leonard Gross and Ilona Krolak]
- Sierpinski matrices and q-subharmonic spaces.