Contact Info
Todd Kemp
Associate Professor, UC San Diego
Department of Mathematics
AP&M 5202
University of California, San Diego
La Jolla, CA 920930112
Phone: (858) 5343985
Fax: (858) 5345273
Email: tkemp@math.ucsd.edu


Research
I work in probability theory (stochastic analysis, diffusion processes on Lie groups, random matrices, and free probability), mathematical physics
(YangMills theory, quantum information theory), and functional analysis (functional inequalities, heat kernel analysis, holomorphic and subharmonic function spaces).
My first former PhD student Natasha Blitvic (PhD from MIT, 2012) works in noncommutative probability and enumeratuve combinatorics. She is now Lecturer (tenuretrack Assistant
Professor) at Lancaster University. My second former PhD student David Zimmermann (PhD, 2015) works on log Sobolev inequalities and random matrices. He was a Dickson Instructor at the University
of Chicago, and now works at Raytheon. I have two current PhD students: Ching Wei Ho (entering his fifth year) and Alice Chan (entering her fourth year), both of whom work on
analysis and probability on highdimensional Lie groups, random matrix theory, and free probability.
Here is a recent research statement: KempResearch2016.pdf
Publications
Published work:
 Hypercontractivity in noncommutative holomorphic spaces. Commun. Math. Phys. 259 no. 3, 615637 (2005) KCMP2005.pdf
 Strong Haagerup inequalities for free Rdiagonal elements. J. Funct. Anal. 251, 141173 (2007) [With Roland Speicher] KSJFA2007.pdf
 Rdiagonal dilation semigroups. Math. Z. 264, 111136 (2010) KMZ2010.pdf
 Hypercontractivity for logsubharmonic functions. J. Funct. Anal. 258, 17851805 (2010) [With Piotr Graczyk and JeanJacques Loeb]. GKLJFA2010.pdf
 Resolvents of Rdiagonal operators. Trans. Amer. Math. Soc. 362, 60296064 (2010) [With Uffe Haagerup and Roland Speicher] HKSTAMS2010.pdf
 Enumeration of noncrossing pairings on bitstrings. J. Comb. Theory A. 118, 129151 (2011) [With Karl Mahlburg, Amarpreet Rattan, and Cliff Smyth] KMRSJCTA2011.pdf
 Duality in SegalBargmann Spaces. J. Funct. Anal. 261, 15911623 (2011) [With Will Gryc] GKJFA2011.pdf
 Wigner Chaos and the Fourth Moment. Ann. Prob. 40, 15771635 (2012) [With Ivan Nourdin, Giovanni Peccati, and Roland Speicher] KNPSAoP2012.pdf
 The LargeN Limit of the SegalBargmann Transform on U(N). J. Funct. Anal. 265, 25852644 (2013) [With Bruce Driver and Brian Hall] DHKJFA2013.pdf
 Liberation of Projections. J. Func. Anal. 266, 19882052 (2014) [With Benoit Collins] CKJFA2014.pdf
 On Sharp Constants in Dual SegalBargmann L^p Spaces. J. Math. Anal. Appl. 424, 11981222 (2015) [With Will Gryc] GKJMAA2015.pdf
 Strong Logarithmic Sobolev Inequalities for LogSubharmonic Functions. Canad. J. Math. 67 (6), 13841410 (2015) [With Piotr Graczyk and JeanJacques Loeb] GKLCJM2015.pdf
 The LargeN Limits of Brownian Motions on GL(N). Int. Math. Res. Not. IMRN, no. 13, 40124057 (2016) KBMGLN.pdf
 Heat Kernel Empirical Laws on U(N) and GL(N). J. Theoret. Probab. 30, no. 2, 397451 (2017) KHeatKernelEmpiricalLaws.pdf
 Three proofs of the MakeenkoMigdal equation for YangMills theory on the plane. Commun. Math. Phys. 351 no. 2, 741774 (2017) [With Bruce Driver and Brian Hall] DHKMMplane.pdf
 The MakeenkoMigdal equation for YangMills theory on compact surfaces. Comm. Math. Phys. 352, no. 3, 967978 (2017) [With Bruce Driver, Franck Gabriel, and Brian Hall] DGHKMMsurfaces.pdf
 The Minimum Renyi Entropy Output of a Quantum Channel is Locally Additive. Lett. Math. Phys. 107, no. 6, 11311155 (2017) [With Gilad Gour] GKRenyi.pdf
 Most Boson Quantum States are Almost Maximally Entangled. To appear in Proc. Am. Math. Soc. [With Shmuel Friedland] FKBosonEntanglement.pdf
 Fluctuations of Brownian Motions on GL(N). To appear in AIHP Probab. Stat. [With Guillaume Cébron] CeKFluctuations.pdf
 The Spectral Edge of Unitary Brownian Motion. To appear in Probab. Theory Related Fields. [With Benoit Collins and Antoine Dahlqvist] CDKPTRF2016.pdf
Preprints:
 The Complex Time SegalBargmann Transform. [With Bruce Driver and Brian Hall] DHKCTimeSBT.pdf
 Random Matrices with LogRange Correlations, and LogSobolev Inequalities. [With David Zimmermann] KZLogCorrelations.pdf
