Jason P. Miller

University of Cambridge

Statslab, DPMMS

jpmiller@statslab.cam.ac.uk

Recent Employment History

    • Professor - University of Cambridge Statistics Laboratory (Fall 2019 to present)
    • Reader - University of Cambridge Statistics Laboratory (Fall 2015 to Fall 2019)
    • 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)

Honors

    • Rollo Davidson Prize, 2015
    • Poincare Chair, 2015-2016 academic year
    • Whitehead Prize, 2016
    • Clay Research Award, 2017
    • ICM invited speaker (probability and statistics), 2018
    • Doeblin Prize, 2018
    • Eisenbud Prize, 2023
    • Fermat Prize, 2023

 

My Google scholar profile.

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 Institut Henri Poincare)
  12. Miller, J.P., Sheffield, S. Imaginary Geometry I: Interacting SLEs. (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). (Annals of Probability)
  14. Miller, J.P., Sheffield, S. Imaginary geometry III: reversibility of SLE_kappa for kappa in (4,8). (Annals of Math)
  15. Miller, J.P., Sheffield, S. Imaginary geometry IV: interior flow lines, whole-plane reversibility, and space filling paths. (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. (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. (Probability Theory and Related Fields)
  19. Miller, J.P., Sheffield, S. Quantum Loewner Evolution. (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. (Probability Theory and Related Fields)
  21. Miller, J.P., Watson, S.S., Wilson, D.B. Extreme nesting in the conformal loop ensemble. (Annals of Probability)
  22. Miller, J.P., Watson, S.S., Wilson, D.B. The conformal loop ensemble nesting field. (Probability Theory and Related Fields)
  23. Duplantier, B., Miller, J.P., Sheffield, S. Liouville quantum gravity as a mating of trees. (To appear in Asterisque)
  24. Gwynne, E., Miller, J.P., Sun, X. Almost sure multifractal spectrum of SLE. (Duke Mathematical Journal)
  25. Miller, J.P., Sheffield, S. An axiomatic characterization of the Brownian map. (To appear in Journal de l'Ecole polytechnique)
  26. Miller, J.P., Sheffield, S. Liouville quantum gravity spheres as matings of finite-diameter trees. (Annales Institut Henri Poincare)
  27. Miller, J.P., Sheffield, S. Liouville quantum gravity and the Brownian map I: the QLE(8/3,0) metric. (Inventiones)
  28. Gwynne, E., Holden, N., Miller, J.P., Sun, X. Brownian motion correlation in the peanosphere for k > 8. (Annales Institut Henri Poincare)
  29. Kenyon, R., Miller, J.P., Sheffield, S., Wilson, D.B. Bipolar oriented random planar maps and SLE(12). (Annals of Probability)
  30. Gwynne, E., Holden, N., Miller, J.P. An almost sure KPZ relation for SLE and Brownian motion. (Annals of Probability)
  31. Miller, J.P., Sheffield, S., Werner, W. CLE percolations (Forum of Mathematics, Pi)
  32. Gwynne, E., Holden, N., Miller, J.P. Dimension transformation formula for conformal maps into the complement of an SLE curve. (Probability Theory and Related Fields)
  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 (Communications in Mathematical Physics)
  34. Miller, J.P., Sheffield, S. Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding (To appear in Annals of Probability)
  35. Kenyon, R., Miller, J.P., Sheffield, S., Wilson, D.B. The six-vertex model and Schramm-Loewner evolution (Physical Reviews E)
  36. Miller, J.P., Sheffield, S. Gaussian free field light cones and SLE_kappa(rho) (Annals of Probability)
  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) (Communications in Mathematical Physics)
  38. Gwynne, E., Milller, J.P. Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology (Electronic Journal of Probability)
  39. Gwynne, E., Milller, J.P. Metric gluings of Brownian and sqrt(8/3)-Liouville quantum gravity surfaces (Annals of Probability)
  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 (To appear in Annales Scientifiques de l'École Normale Supérieure)
  41. Miller, J.P., Sheffield, S. Liouville quantum gravity and the Brownian map III: the conformal structure is determined (To appear in Probability Theory and Related Fields)
  42. Miller, J.P., Sheffield, S., Werner., W. Non-simple SLE curves are not determined by their range (Journal of the European Mathematical Society)
  43. Gwynne, E., Miller, J.P. Chordal SLE(6) explorations of a quantum disk (Electronic Journal of Probability)
  44. Gwynne, E., Miller, J.P. Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk (Annales Institut Henri Poincare)
  45. Gwynne, E., Miller, J.P. Characterizations of SLE(κ) for κ in (4,8) on Liouville quantum gravity (To appear in Asterisque)
  46. Gwynne, E., Miller, J.P. Convergence of percolation on uniform quadrangulations with boundary to SLE(6) on sqrt(8/3)-Liouville quantum gravity (To appear in Asterisque)
  47. Miller, J.P., Werner, W. Connection probabilities for conformal loop ensembles (Communications in Mathematical Physics)
  48. Gwynne, E., Miller, J.P., Sheffield, S. The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity (To appear in Annals of Probability)
  49. Gwynne, E., Miller, J.P. Random walk on random planar maps: spectral dimension, resistance, and displacement (To appear in Annals of Probability)
  50. Miller, J.P. Liouville quantum gravity as a metric space and a scaling limit (Proceedings of the ICM 2018)
  51. Gwynne, E., Miller, J.P., Sheffield, S. Harmonic functions on mated-CRT maps (Electronic Journal of Probability)
  52. Gwynne, E., Miller, J.P., Sheffield, S. An invariance principle for ergodic scale-free random environments (To appear in Acta Mathematica)
  53. Gwynne, E., Miller, J.P., Sheffield, S. The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to sqrt(8/3)-Liouville quantum gravity (Communications in Mathematical Physics)
  54. McEnteggart, O., Miller, J.P., Qian, W. Uniqueness of the welding problem for SLE and Liouville quantum gravity (To appear in Journal of the Institute of Mathematics of Jussieu)
  55. Gwynne, E., Miller, J.P., Qian, W. Conformal invariance of whole-plane CLE(kappa) on the Riemann sphere for kappa in (4,8) (To appear in International Math Research Notices (IMRN))
  56. Miller, J.P., Qian, W. The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions (To appear in Probability Theory and Related Fields)
  57. Gwynne, E., Miller, J.P. Local metrics of the Gaussian free field (To appear in Annales de l’Institut Fourier)
  58. Gwynne, E., Miller, J.P. Confluence of geodesics in Liouville quantum gravity for gamma in (0,2) (To appear in Annals of Probability)
  59. Gwynne, E., Miller, J.P. Existence and uniqueness of the Liouville quantum gravity metric for gamma in (0,2) (To appear in Inventiones)
  60. Gwynne, E., Miller, J.P. Conformal covariance of the Liouville quantum gravity metric for gamma in (0,2) (To appear in Annales Institut Henri Poincare)
  61. Miller, J.P., Sheffield, S., Werner, W. Simple conformal loop ensembles on Liouville quantum gravity (To appear in Annals of Probability)
  62. Miller, J.P., Sheffield, S., Werner, W. Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces (To appear in Probability Theory and Related Fields)
  63. Miller, J.P., Qian, W. Geodesics in the Brownian map: Strong confluence and geometric structure (Submitted)
  64. Kavvadias, K., Miller, J.P., Schoug, L. Regularity of the SLE(4) uniformizing map and the SLE(8) trace (Submitted)
  65. Miller, J.P. Tightness of the chemical distance metric for simple conformal loop ensembles (Submitted)
  66. Miller, J.P., Schoug, S. Existence and uniqueness of the conformally covariant volume measure on conformal loop ensembles (Submitted)
  67. Kavvadias, K., Miller, J.P. Bipolar oriented random planar maps with large faces and exotic SLE_kappa(rho) processes (Submitted)
  68. Ambrosio, V., Miller, J.P. A continuous proof of the existence of the SLE(8) curve (Submitted)
  69. Kavvadias, K., Miller, J.P., Schoug, L. Conformal removability of SLE(4) (Submitted)
  70. Hughes, L., Miller, J.P. Equivalence of metric gluing and conformal welding in gamma-Liouville quantum gravity for gamma in (0,2) (Submitted)
  71. Kavvadias, K., Miller, J.P., Schoug, L. Conformal removability of non-simple Schramm-Loewner evolutions (Submitted)
  72. Doherty, C., Miller, J.P. On the Sobolev removability of the graph of one-dimensional Brownian motion (Submitted)
  73. Doherty, C., Kavvadias, K., Miller, J.P. Connectivity of the adjacency graph of complementary components of the SLE fan (Submitted)
  74. 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 and Bernoulli.

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 minicourse (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 minicourse (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 minicourse (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 minicourse (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 minicourse 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 minicourse (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. 2nd French-Russian Conference Random Geometry and Physics (Liouville quantum gravity and the Brownian map), October 2016
  87. Symposium in honor of Wendelin Werner on the occasion of the Heinz Gumin Prize (CLE percolations), December 2016
  88. 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
  89. 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
  90. 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
  91. MIT probability seminar (CLE percolations), April 2017
  92. ENS Lyon (Introduction to the Gaussian free field and Liouville quantum gravity, minicourse), May 2017
  93. Oxford stochastic analysis seminar (Convergence of percolation on uniform quadrangulations), May 2017
  94. Random Geometry in Cambridge closing workshop (Convergence of percolation on uniform quadrangulations), June 2017
  95. String Math (Equivalence of Liouville quantum gravity and the Brownian map), July 2017
  96. Exact methods in low dimensional statistical physics (Equivalence of Liouville quantum gravity and the Brownian map), July 2017
  97. Randomness and Graphs Eurandom (Convergence of percolation on uniform quadrangulations), September 2017
  98. Oberwolfach seminar: Scaling limits of random planar maps and Liouville quantum gravity, minicourse, October 2017
  99. Trinity maths society (Random trees), November 2017
  100. Princeton math colloquium (Equivalence of Liouville quantum gravity and the Brownian map), November 2017
  101. Queen Mary University probability seminar (Convergence of percolation on random quadrangulations), November 2017
  102. Second Haifa Probability School (The continuum Gaussian free field and Liouville quantum gravity, minicourse), December 2017
  103. Bath probability seminar (Convergence of percolation on random quadrangulations), April 2018
  104. IST Austria probability summer school (Introduction to Liouville quantum gravity and the Gaussian free field, minicourse), June 2018
  105. SPA 2018, Gaussian multiplicative chaos and Liouville quantum gravity (Random walks on random planar maps), June 2018
  106. SPA 2018, Branching in random trees and maps (Convergence of percolation on random quadrangulations), June 2018
  107. Random Conformal Geometry and Related Fields (Non-simple SLE curves are not determined by their range), Seoul, June 2018
  108. Interplay of Random Media and Stochastic Interface Models (Random walks on random planar maps), Berlin, June 2018
  109. Random geometry follow-up (minicourse on random walks on random planar maps), Cambridge UK, July 2018
  110. Geometry and scaling of random structures (Introduction to the Gaussian free field and Liouville quantum gravity, minicourse), CIMPA Argentina, July 2018
  111. Brazil probability summer school (Convergence of percolation on random quadrangulations), August 2018
  112. International Congress of Mathematicians (Liouville quantum gravity as a metric space and a scaling limit), Rio, August 2018
  113. LMS prospects meeting (Two dimensional random geometry), Warwick, September 2018
  114. Scaling limits in Models of Statistical Mechanics (Brownian motion on Brownian surfaces), Oberwolfach, September 2018
  115. Gaussian free fields (Brownian motion on Brownian surfaces), Kyoto Japan, September 2018
  116. Clay research conference, September 2018
  117. Fractal Geometry and Stochastics 6 (Brownian motion on Brownian surfaces), Germany, October 2018
  118. Dynamics and moduli spaces of translation surfaces (Equivalence of Liouville quantum gravity and the Brownian map), Fields institute, October 2018
  119. Athens probability colloquium (Random planar geometry), April 2019
  120. University of Athens math seminar (Percolation in conformal loop ensembles), April 2019
  121. Probability and quantum field theory (Existence and uniqueness of the Liouville quantum gravity metric), Porquerolles France, June 2019
  122. Paths between Probability, PDEs, and Physics (Existence and uniqueness of the Liouville quantum gravity metric), Imperial, July 2019
  123. SPA 2019 (Existence and uniqueness of the Liouville quantum gravity metric), Chicago, July 2019

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
  5. Schramm-Loewner evolutions, Lent 2018
  6. Schramm-Loewner evolutions, Lent 2019

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