Nike Sun
nsun at mit dot edu
2432, 77 Massachusetts Avenue, Cambridge, MA 021394307
Hello! I am an associate professor at MIT Mathematics, on leave from Berkeley Statistics.
I am interested in probability theory and statistical physics.
(20162018) UC Berkeley (Assistant Professor, Statistics).
(20142015) MSR New England and MIT Mathematics (Schramm Fellow).
(20102014) Stanford University (Ph.D. Statistics, advised by Amir Dembo).
(20092010) University of Cambridge (M.A.St. Mathematics).
(20052009) Harvard University (B.A. Mathematics, M.A. Statistics).
Teaching
Spring 2019: 18.125 Measure Theory and Analysis, MW 9:3011 in 2135.
Fall 2018: 18.177 Topics in Stochastic Processes.
Fall 2017: Math218a/Stat205a Probability Theory.
Fall 2017: Stat155 Game Theory.
Fall 2016: Stat134 Concepts of Probability.
Links
Advances in Asymptotic Probability,
Stanford Dec. 1317 2018, in honor of Amir Dembo's 60th birthday.
Publications and preprints
(Final arXiv version matches journal version except for very minor changes.)
Breaking of 1RSB in random MAXNAESAT.
[arXiv] With Zsolt Bartha and Yumeng Zhang.
Capacity lower bound for the Ising perceptron.
[arXiv] With Jian Ding.
Conference version in proceedings of 51st STOC (2019).
Spectral algorithms for tensor completion.
[arXiv]
[journal]
With Andrea Montanari.
Comm. Pure Appl. Math., 2016.
The number of solutions for random regular NAESAT.
[arXiv]
[conference]
With Allan Sly and Yumeng Zhang.
Conference version in proceedings of
57th FOCS
(2016), pp. 724731.
Shotgun assembly of random regular graphs.
[arXiv]
With Elchanan Mossel.
Supercritical minimum meanweight cycles.
[arXiv]
With Jian Ding and
David B. Wilson.
To appear, Trans. Amer. Math. Soc..
Proof of the satisfiability conjecture for large k.
[arXiv]
[conference]
With Jian Ding and
Allan Sly.
Conference version in proceedings of 47th STOC (2015), pp. 5968.
Maximum independent sets on random regular graphs.
[arXiv]
[journal]
With Jian Ding and
Allan Sly.
Acta Math. 217:2 (2016), pp. 263340.
Satisfiability threshold for random regular NAESAT.
[arXiv]
[conference]
[journal]
With Jian Ding and
Allan Sly.
Comm. Math. Phys. 341:2 (2016), pp. 435489.
Conference version in proceedings of 46th STOC (2014), pp. 814822.
On the asymptotics of dimers on tori.
[arXiv]
[journal]
With Richard W. Kenyon
and David B. Wilson.
Probab. Theory Rel. Fields 166:3 (2016), pp. 9711023.
The replica symmetric solution
for Potts models on dregular graphs.
[arXiv]
[journal]
With Amir Dembo,
Andrea Montanari, and
Allan Sly.
Comm. Math. Phys.
327:2 (2014), pp. 551575.
The Hausdorff dimension of the CLE gasket.
[arXiv]
[journal]
With Jason Miller and
David B. Wilson. Ann. Probab.,
42:4 (2014), pp. 16441665.
Counting in twospin models on dregular graphs.
[arXiv]
[journal]
[conference]
With Allan Sly.
Ann. Probab.
42:6 (2014), pp. 23832416.
Conference version in proceedings of 53rd FOCS (2012), pp. 361369.
Factor models on locally treelike graphs.
[arXiv]
[journal]
With Amir Dembo and
Andrea Montanari.
Ann. Probab. 41:6 (2013), pp. 41624213.
Central limit theorem for biased random walk on multitype GaltonWatson trees.
[arXiv]
[journal]
With Amir Dembo.
Elect. J. Probab. 17:75 (2012), pp. 140.
Strong path convergence from Loewner driving convergence.
[arXiv]
[journal]
With Scott Sheffield.
Ann. Probab. 40:2 (2012), pp. 578610.
Conformally invariant scaling limits in planar critical percolation.
[arXiv]
[journal]
Probab. Surveys 8 (2011), pp. 155209.
