Contact Info
Todd Kemp
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@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).
I am a Founding Faculty member of the Halicioğlu Data Science Institute.
Mentoring
I have served as advisor to 4 former and 2 current PhD students:
 Natasha Blitvic (PhD: 20072012, MIT).
After a Zorn postdoctoral fellowship at Indiana University, she moved to Lancaster University (in the UK) where she is currently a
Lecturer (US equivalent: Associate Professor) in Pure Mathematics.
 David Zimmermann (PhD: 20102015, UCSD)
After an appointment as a Dickson Instructor at U Chicago, he went into industry.
He currently works for Google, in Sunnyvale, CA.
 Ching Wei Ho (PhD: 20132018, UCSD).
After a Zorn postdoctoral felowship at Indiana University, he became a permanent faculty member at Acedemia Sinica (the National Academy of Taiwan).
 Alice Chan (PhD: 20142019, UCSD)
Currently looking for industry positions related to ML.
 Evangelos (Vaki) Nikitopoulos (PhD: 2018 , UCSD).
Coadvised with Bruce Driver.
 Zhichao Wang. (PhD: 2019 , UCSD). Former Masters student of Michael Anshelevich.
I have mentored 2 former and 4 current postdocs (SEW = Stefen E. Warschawski Visiting Assistant Professor; NSF PDF = National Science Foundation Postdoctoral Research Fellow; PPF = President's Postdoctoral Fellow):
Publications
 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 (2008) KMZ2010.pdf
 Hypercontractivity for logsubharmonic functions. J. Funct. Anal. 258, 17851805 (2009) [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
 The Spectral Edge of Unitary Brownian Motion. Probab. Theory Related Fields 170, no. 12, 4993 (2018) [With Benoit Collins and Antoine Dahlqvist] CDKPTRF2016.pdf
 Most Boson Quantum States are Almost Maximally Entangled. Proc. Am. Math. Soc. 146, no. 12, 50355049 (2018) [With Shmuel Friedland] FKBosonEntanglement.pdf
 Corrigendum to "On Sharp Constants for Dual SegalBargmann L^p Spaces". J. Math. Anal. Appl. 475, no. 2, 19921995 (2019) [With Will Gryc] GKJMAA2019.pdf
 Brown Measure Support and the Free Multiplicative Brownian Motion. Adv. Math. 355, 106771, 36 pp. (2019) [With Brian Hall] HKBrownMeasureSupport.pdf
 The Complex Time SegalBargmann Transform. J. Funct. Anal. 278, no. 1, 108303, 42 pp. (2020) [With Bruce Driver and Brian Hall] DHKCTimeSBT.pdf
 Random Matrices with LogRange Correlations, and LogSobolev Inequalities. Ann. Math. Blaise Pascal 27, no. 2, 207232 (2020) [With David Zimmermann] KZLogCorrelations.pdf
 Fluctuations of Brownian Motions on GL(N). Ann. Inst. Henri Poincare Probab. Stat. 58, no. 1, 524547 (2022) [With Guillaume Cébron] CeKFluctuations.pdf
 Stochastic Networks and Reflecting Brownian Motion: the Mathematics of Ruth Williams Notices Amer. Math. Soc. 69, no. 3, 363374 (2022) [with Ioana Dumitriu and Kavita Ramanan] DRKWilliamsFeature.pdf
 The Brown Measure of the Free Multiplicative Brownian Motion. To Appear in Probab. Theory Related Fields [With Bruce Driver and Brian Hall] DHKBrownMeasure.pdf
