Jason P. Miller

University of Cambridge

Statslab, DPMMS

jpmiller@statslab.cam.ac.uk

Recent Employment History

    • Reader - University of Cambridge Statistics Laboratory (Fall 2015 to present)
    • Fellow - Trinity College, Cambridge (Fall 2015 to present)
    • Post-doctoral researcher (Schramm Fellow and NSF Fellow) - MIT Department of Mathematics (7/2012 to 7/2015)
    • Post-doctoral researcher - Theory Group, Microsoft Research Redmond (9/2010 to 7/2012)
    • Intern (convertible arbitrage strategy) - D.E. Shaw & Co (6/2010 to 9/2010)
    • Intern - Theory Group, Microsoft Research Redmond (6/2009 to 9/2009)

Education

    • Stanford University (September 2006 - June 2011) PhD in Mathematics
    • University of Michigan, Ann Arbor (2002-2006) Bachelors in Mathematics, Computer Science, and Economics (highest distinction, summa cum laude, GPA 3.96/4.00)

Awards and honors

    • Rollo Davidson Prize, 2015
    • Poincare Chair, 2015-2016 academic year
    • Whitehead Prize, 2016
    • Clay Research Award, 2017


Research articles

  1. Miller, J.P. (2005). Sector Reflections in the Plane. Annales Academiae Scientia Fennicae, 30, 219-225.
  2. Jordan, P., Kiekintveld, C., Miller, J. P., Wellman, M.P. (2006). Market Efficiency, Sales, Competition, and the Bullwhip Effect in the TAC SCM Tournaments. AAMAS-06 Workshop on Trading Agent Design and Analysis.
  3. Kiekintveld, C., Miller, J.P., Jordan, P., Wellman, M.P. (2006). Controlling a Supply Chain Agent Using Value-Based Decomposition. Seventh AMS Conference on Electronic Commerce, 208-217.
  4. Kiekintveld, C., Miller, J.P., Jordan, P., Wellman, M.P. (2007). Forcasting Market Prices in a Supply Chain Game. Sixth International Joint Conference on Autonomous Agents and Multiagent Systems, 1318-1325.
  5. Kiekintveld, C., Miller, J.P., Jordan, P., Callender, L.F., Wellman, M.P. (2008). Forcasting Market Prices in a Supply Chain Game. Electronic Commerce Research and Applications.
  6. Hu, X., Miller J.P., Peres, Y. Thick Points of the Gaussian Free Field. (Annals of Probability)
  7. Miller, J.P., Peres, Y. Uniformity of the Uncovered Set of Random Walk and Cutoff for Lamplighter Chains. (Annals of Probability).
  8. Miller, J.P. Fluctuations for the Ginzburg-Landau Model on a Bounded Domain. (Communications in Mathematical Physics)
  9. Miller, J.P. Universality for SLE(4). (Submitted)
  10. Miller, J.P. Painting a Graph with Competing Random Walks. (Annals of Probability)
  11. Miller, J.P., Komjathy, J., Peres, Y. Uniform mixing time for random walk on lamplighter graphs. (Annales Institute Henri Poincare)
  12. Miller, J.P., Sheffield, S. Imaginary Geometry I: Interacting SLEs. (To appear in Probability Theory and Related Fields)
  13. Miller, J.P., Sheffield, S. Imaginary geometry II: reversibility of SLE_kappa(rho_1;rho_2) for kappa in (0,4). (To appear in Annals of Probability)
  14. Miller, J.P., Sheffield, S. Imaginary geometry III: reversibility of SLE_kappa for kappa in (4,8). (To appear in Annals of Math)
  15. Miller, J.P., Sheffield, S. Imaginary geometry IV: interior flow lines, whole-plane reversibility, and space filling paths. (To appear in Probability Theory and Related Fields)
  16. Miller, J.P., Sun, N., Wilson, D.B. Hausdorff dimension of the CLE gasket. (Annals of Probability)
  17. Miller, J.P., Wu, H. Intersections of SLE paths: the double and cut point dimension of SLE. (To appear in Probability Theory and Related Fields)
  18. Miller, J.P., Sousi, P. Uniformity of the late points of random walk on Z_n^d for d >= 3. (To appear in Probability Theory and Related Fields)
  19. Miller, J.P., Sheffield, S. Quantum Loewner Evolution. (To appear in Duke Mathematical Journal)
  20. Dembo, A., Ding, J., Miller, J.P., Peres, Y. Cut-off for lamplighter chains on tori: dimension interpolation and phase transition. (Submitted)
  21. Miller, J.P., Watson, S.S., Wilson, D.B. Extreme nesting in the conformal loop ensemble. (To appear in Annals of Probability)
  22. Miller, J.P., Watson, S.S., Wilson, D.B. The conformal loop ensemble nesting field. (To appear in Probability Theory and Related Fields)
  23. Duplantier, B., Miller, J.P., Sheffield, S. Liouville quantum gravity as a mating of trees. (Submitted)
  24. Gwynne, E., Miller, J.P., Sun, X. Almost sure multifractal spectrum of SLE. (Submitted)
  25. Miller, J.P., Sheffield, S. An axiomatic characterization of the Brownian map. (Submitted)
  26. Miller, J.P., Sheffield, S. Liouville quantum gravity spheres as matings of finite-diameter trees. (Submitted)
  27. Miller, J.P., Sheffield, S. Liouville quantum gravity and the Brownian map I: the QLE(8/3,0) metric. (Submitted)
  28. Gwynne, E., Holden, N., Miller, J.P., Sun, X. Brownian motion correlation in the peanosphere for k > 8. (Submitted)
  29. Kenyon, R., Miller, J.P., Sheffield, S., Wilson, D.B. Bipolar oriented random planar maps and SLE_12. (Submitted)
  30. Gwynne, E., Holden, N., Miller, J.P. An almost sure KPZ relation for SLE and Brownian motion. (Submitted)
  31. Miller, J.P., Sheffield, S., Werner, W. CLE percolations (Submitted)
  32. Gwynne, E., Holden, N., Miller, J.P. Dimension transformation formula for conformal maps into the complement of an SLE curve. (Submitted)
  33. Gwynne, E., Kassel, A., Miller, J.P., Wilson, D.B. Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for k >8 (Submitted)
  34. Miller, J.P., Sheffield, S. Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding (Submitted)
  35. Kenyon, R., Miller, J.P., Sheffield, S., Wilson, D.B. The six-vertex model and Schramm-Loewner evolution (Submitted)
  36. Miller, J.P., Sheffield, S. Gaussian free field light cones and SLE_kappa(rho) (Submitted)
  37. Miller, J.P. Dimension of the SLE light cone, the SLE fan, and SLE_k(rho) for k in (0,4) and rho in [k/2-4,-2) (Submitted)
  38. Gwynne, E., Milller, J.P. Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology (Submitted)
  39. Gwynne, E., Milller, J.P. Metric gluings of Brownian and sqrt(8/3)-Liouville quantum gravity surfaces (Submitted)
  40. Gwynne, E., Miller, J.P. Convergence of the self-avoiding walk on random quadrangulations to SLE(8/3) on sqrt(8/3)-Liouville quantum gravity (Submitted)
  41. Miller, J.P., Sheffield, S. Liouville quantum gravity and the Brownian map III: the conformal structure is determined (Submitted)
  42. Miller, J.P., Sheffield, S., Werner., W. Non-simple SLE curves are not determined by their range (Submitted)
  43. Gwynne, E., Miller, J.P. Chordal SLE(6) explorations of a quantum disk (Submitted)
  44. Gwynne, E., Miller, J.P. Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk (Submitted)
  45. Gwynne, E., Miller, J.P. Characterizations of SLE(κ) for κ in (4,8) on Liouville quantum gravity (Submitted)
  46. Gwynne, E., Miller, J.P. Convergence of percolation on uniform quadrangulations with boundary to SLE(6) on sqrt(8/3)-Liouville quantum gravity (Submitted)
  47. Miller, J.P., Werner., W Connection probabilities for conformal loop ensembles (Submited)
  48. Miller, J.P., Sheffield, S. CLE(4) and the Gaussian Free Field. (in preparation)

Editorial and refereeing

I am currently on the editorial board of Probability Theory and Related Fields. I have been a referee for many journals in probability.

Talks, visits, conferences attended

  1. Joint meetings of the AMS, January 2008
  2. La Pietra week in probability (Quasi-stationary ROSts and the Continuous Cascades), June 2008
  3. CRM meeting on Stochastic Loewner Evolution and Interfaces, August 2008
  4. Microsoft Research (Thick Points of the Gaussian Free Field), August 2008
  5. UC Davis probability seminar (Thick Points of the Gaussian Free Field), October 2008
  6. CRM meeting on Random Functions, Surfaces, and Interfaces (Thick Points of the Gaussian Free Field), January 2009
  7. Stanford JPDE seminar, three introductory talks on SLE, February 2009
  8. Stanford probability seminar (Thick Points of the Gaussian Free Field), April 2009
  9. Columbia-Princeton probability day (Thick Points of the Gaussian Free Field), May 2009
  10. Graduate Student Probability Conference (Thick Points of the Gaussian Free Field), May 2009
  11. UBC Meeting on Random Walk in Random Environment, June 2009
  12. AIM Meeting on Topological Complexity of Random Sets (Thick Points of the Gaussian Free Field and Limit Theorems for Non-Gaussian Random Surface Models), August 2009
  13. Microsoft Research (Illuminating the Uncovered Set of Random Walk), August 2009
  14. Stanford Probability Seminar (Fluctuations and Contours for the Ginzburg-Landau Model on a Bounded Domain), January 2010
  15. Berlin-Leipzig Seminar on Analysis and Probability (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), January 2010
  16. Inhomogeneous Random Systems, Gradient Models (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), January 2010
  17. University of Minnesota Probability Seminar (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), February 2010
  18. Berkeley Probability Seminar (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), April 2010
  19. Graduate Student Probability Conference (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), April 2010
  20. ETH Zurich Seminar on Stochastic Processes (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), May 2010
  21. University of Geneva Physical Mathematics Seminar (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), May 2010
  22. Conformal maps from probability to physics (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), May 2010
  23. Microsoft Research (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), May 2010
  24. SPA 2010, Large Scale Interacting Systems, Osaka, Japan, September, 2010
  25. Large scale interacting systems (SPA Satellite), Tokyo, Japan, September 2010
  26. Recent Trends in Probability Theory and Related Fields (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains), AMS Sectional Meeting, UCLA, October, 2010
  27. Stanford Probability Seminar (CLE(4) and the Gaussian Free Field), November, 2010
  28. MIT Probability Seminar (CLE(4) and the Gaussian Free Field), November, 2010
  29. Columbia Probability Seminar (CLE(4) and the Gaussian Free Field), November, 2010
  30. University of Washington Probability Seminar (CLE(4) and the Gaussian Free Field), November, 2010
  31. NYU Probability Seminar (CLE(4) and the Gaussian Free Field), February, 2011
  32. MIT Probability Seminar (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains), February, 2011
  33. UBC Probability Seminar (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains), April, 2011
  34. Stanford Probability Seminar (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains), April, 2011
  35. Oberwolfach (AC Geometry of the Gaussian Free Field), May, 2011
  36. Northwest probability seminar (Imaginary Geometry and the Gaussian Free Field), October, 2011
  37. Northwestern colloquium (Imaginary Geometry and the Gaussian Free Field), November, 2011
  38. MIT probability seminar (Imaginary Geometry and the Gaussian Free Field), November, 2011
  39. University of Chicago probability seminar (Imaginary Geometry and the Gaussian Free Field), February 2012
  40. MSRI Statistical Mechanics and Conformal Invariance (Imaginary Geometry and the Gaussian Free Field), March 2012
  41. Michigan state mathematical physics seminar, (SLE and the Gaussian Free Field), April 2012
  42. Michigan state probability seminar, (Imaginary Geometry and the Gaussian Free Field), April 2012
  43. Advances in Percolation and Related Topics (Imaginary Geometry and the Gaussian Free Field), May, 2012
  44. Random Media II, Sendai, Japan (Imaginary Geometry and the Gaussian Free Field), September 2012
  45. Cambridge University center for analysis mini course (Imaginary Geometry and the Gaussian free field) lectures, November 2012
  46. ETH Zurich probability seminar (Imaginary Geometry and the Gaussian Free Field), November 2012
  47. University of Geneva physical mathematics seminar (Reversibility for SLE for kappa in (4,8), November 2012
  48. Winter meeting of the Canadian Mathematical Society (Imaginary Geometry and the Gaussian Free Field), December 2012
  49. IMPA combinatorics seminar (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains), December 2012
  50. Carnegie Mellon University ACO seminar (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains) January 2013
  51. Harvard probability seminar (Imaginary Geometry and the Gaussian Free Field), February 2013
  52. Planar statistical physics, Les Diablerets, Switzerland mini course (Imaginary Geometry and the Gaussian Free Field), February 2013
  53. UK Easter meeting (Imaginary Geometry and the Gaussian Free Field), April, 2013
  54. IPAM meeting on quasiconformal mappings (Imaginary Geometry and the Gaussian Free Field), May, 2013
  55. Cornell probability summer school (Imaginary Geometry and the Gaussian Free Field), July, 2013
  56. SPA 2013, SLE and related topics (Imaginary Geometry and the Gaussian Free Field), August, 2013
  57. Planar Statistical Physics II, Les Diablerets, Switzerland mini course (Quantum Loewner Evolution), February 2014
  58. University of Michigan Probability Seminar (Random surfaces and Quantum Loewner Evolution), April 2014
  59. Columbia-Princeton Probability Day (Random Surfaces and Quantum Loewner Evolution), April 2014
  60. University of Washington Analysis Seminar (Random Surfaces and Quantum Loewner Evolution), April 2014
  61. Brown University Probability Seminar (Random Surfaces and Quantum Loewner Evolution), April 2014
  62. Stanford Mathematics Colloquium (Random Surfaces and Quantum Loewner Evolution), June 2014
  63. Barrett Lectures (Random Surfaces and Quantum Loewner Evolution), June 2014
  64. Two-Dimensional Random Critical Models mini course (Quantum Loewner Evolution), July 2014
  65. Probability on Trees and Planar Graphs (Random Surfaces and Quantum Loewner Evolution), September 2014
  66. Advances in Probability: Integrability, Universality, and Beyond (Liouville Quantum Gravity as a Mating of Trees), September 2014
  67. Cambridge mini course on the GFF, January 2015
  68. Newton Institute Institute Conformally invariant scaling limits, (Liouville Quantum Gravity as a Mating of Trees) January 2015
  69. Topics on low dimensional statistical mechanics, Les Diablerets (Liouville Quantum Gravity as a Mating of Trees), February 2015
  70. Warwick combinatorics seminar (Liouville Quantum Gravity as a Mating of Trees), March 2015
  71. Stony Brook colloquium 2015 (Liouville Quantum Gravity as a Mating of Trees), March 2015
  72. AMS talk 2015 (Almost Sure Multifractal Spectrum of SLE), March 2015
  73. Newton Institute Geometry of random walks and SLE (Liouville Quantum Gravity and the Brownian map) June 2015
  74. SPA 2015 (Liouville Quantum Gravity and the Brownian map), July 2015
  75. International congress of mathematical physics (Liouville Quantum Gravity as a Mating of Trees), July 2015
  76. Recent trends in stochastic analysis (Liouville Quantum Gravity and the Brownian Map), September 2015
  77. Oxford probability seminar (Liouville Quantum Gravity as a Mating of Trees), October 2015
  78. Bristol probability seminar (Liouville Quantum Gravity and the Brownian Map), October 2015
  79. Random processes and random media: A conference on the occasion of Alain-Sol Sznitman's 60th birthday (Liouville Quantum Gravity and the Brownian Map), January 2016
  80. Warwick probability seminar (CLE percolations), February 2016
  81. UK Easter probability meeting (Quantum Loewner Evolution, minicourse), April 2016
  82. Recent developments in SLE, Mittag-Leffler (The peanosphere perspective on SLE and Liouville quantum gravity), June 2016
  83. St Flour Probability Summer School (Universal randomness in 2D), with S. Sheffield, July 2016
  84. IHES course (Liouville quantum gravity and the Brownian map), September 2016
  85. University of Marseille Probability Seminar (Liouville quantum gravity and the Brownian map), September 2016
  86. Symposium in honor of Wendelin Werner on the occasion of the Heinz Gumin Prize (CLE percolations), December 2016
  87. Inhomogeneous random systems (Convergence of the self-avoiding walk on random quadrangulations to SLE(8/3) on sqrt(8/3)-Liouville quantum gravity), January 2017
  88. New trends in Mathematical Physics, at the interface of Analysis and Probability (Convergence of the self-avoiding walk on random quadrangulations to SLE(8/3) on sqrt(8/3)-Liouville quantum gravity), February 2017
  89. SLE, GFF, and LQG in NYC (Convergence of the self-avoiding walk on random quadrangulations to SLE(8/3) on sqrt(8/3)-Liouville quantum gravity), March 2017
  90. MIT probability seminar (CLE percolations), April 2017

Teaching

University of Cambridge

  1. Probability and Measure, Michaelmas 2015
  2. Stochastic Calculus, Lent 2016
  3. Probability and Measure, Michaelmas 2016
  4. Schramm-Loewner evolutions, Lent 2017

Massachusetts Institute of Technology

  1. 18.03 (Differential equations) recitation leader, Spring 2014
  2. 18.03 (Differential equations) recitation leader, Fall 2014
  3. 18.177 (Topics in stochastic processes) course instructor, Fall 2014

Stanford

  1. Math 52 (Vector Calculus) course assistant, Fall 2006
  2. Math 136 (Stochastic Processes) course assistant, Winter 2007
  3. Math 51 (Linear Algebra) teaching assistant, Fall 2007
  4. Math 136 (Stochastic Processes) course assistant, Winter 2008
  5. Math 180 (Financial Mathematics) course assistant, Fall 2008
  6. AARC Tutor (Calculus, Linear Algebra), Fall 2007 - Spring 2009

University of Michigan

  1. Math 295 (Theoretical Calculus) VIGRE course apprentice, Fall 2004
  2. Math 396 (Differential Geometry) VIGRE course apprentice, Winter 2005