**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

My Google scholar profile.

### Research articles

- Miller, J.P. (2005). Sector Reflections in the Plane. Annales Academiae Scientia Fennicae, 30, 219-225.
- 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.
- 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.
- 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.
- 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.
- Hu, X., Miller J.P., Peres, Y. Thick Points of the Gaussian Free Field. (Annals of Probability)
- Miller, J.P., Peres, Y. Uniformity of the Uncovered Set of Random Walk and Cutoff for Lamplighter Chains. (Annals of Probability).
- Miller, J.P. Fluctuations for the Ginzburg-Landau Model on a Bounded Domain. (Communications in Mathematical Physics)
- Miller, J.P. Universality for SLE(4). (Submitted)
- Miller, J.P. Painting a Graph with Competing Random Walks. (Annals of Probability)
- Miller, J.P., Komjathy, J., Peres, Y. Uniform mixing time for random walk on lamplighter graphs. (Annales Institut Henri Poincare)
- Miller, J.P., Sheffield, S. Imaginary Geometry I: Interacting SLEs. (Probability Theory and Related Fields)
- Miller, J.P., Sheffield, S. Imaginary geometry II: reversibility of SLE_kappa(rho_1;rho_2) for kappa in (0,4). (Annals of Probability)
- Miller, J.P., Sheffield, S. Imaginary geometry III: reversibility of SLE_kappa for kappa in (4,8). (Annals of Math)
- Miller, J.P., Sheffield, S. Imaginary geometry IV: interior flow lines, whole-plane reversibility, and space filling paths. (Probability Theory and Related Fields)
- Miller, J.P., Sun, N., Wilson, D.B. Hausdorff dimension of the CLE gasket. (Annals of Probability)
- Miller, J.P., Wu, H. Intersections of SLE paths: the double and cut point dimension of SLE. (Probability Theory and Related Fields)
- 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)
- Miller, J.P., Sheffield, S. Quantum Loewner Evolution. (Duke Mathematical Journal)
- 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)
- Miller, J.P., Watson, S.S., Wilson, D.B. Extreme nesting in the conformal loop ensemble. (Annals of Probability)
- Miller, J.P., Watson, S.S., Wilson, D.B. The conformal loop ensemble nesting field. (Probability Theory and Related Fields)
- Duplantier, B., Miller, J.P., Sheffield, S. Liouville quantum gravity as a mating of trees. (Submitted)
- Gwynne, E., Miller, J.P., Sun, X. Almost sure multifractal spectrum of SLE. (Duke Mathematical Journal)
- Miller, J.P., Sheffield, S. An axiomatic characterization of the Brownian map. (Submitted)
- Miller, J.P., Sheffield, S. Liouville quantum gravity spheres as matings of finite-diameter trees. (To appear in Annales Institut Henri Poincare)
- Miller, J.P., Sheffield, S. Liouville quantum gravity and the Brownian map I: the QLE(8/3,0) metric. (To appear in Inventiones)
- Gwynne, E., Holden, N., Miller, J.P., Sun, X. Brownian motion correlation in the peanosphere for k > 8. (Annales Institut Henri Poincare)
- Kenyon, R., Miller, J.P., Sheffield, S., Wilson, D.B. Bipolar oriented random planar maps and SLE(12). (Annals of Probability)
- Gwynne, E., Holden, N., Miller, J.P. An almost sure KPZ relation for SLE and Brownian motion. (To appear in Annals of Probability)
- Miller, J.P., Sheffield, S., Werner, W. CLE percolations (Forum of Mathematics, Pi)
- Gwynne, E., Holden, N., Miller, J.P. Dimension transformation formula for conformal maps into the complement of an SLE curve. (To appear in Probability Theory and Related Fields)
- 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)
- Miller, J.P., Sheffield, S. Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding (Submitted)
- Kenyon, R., Miller, J.P., Sheffield, S., Wilson, D.B. The six-vertex model and Schramm-Loewner evolution (Physical Reviews E)
- Miller, J.P., Sheffield, S. Gaussian free field light cones and SLE_kappa(rho) (To appear in Annals of Probability)
- 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)
- 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)
- Gwynne, E., Milller, J.P. Metric gluings of Brownian and sqrt(8/3)-Liouville quantum gravity surfaces (To appear in Annals of Probability)
- 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)
- Miller, J.P., Sheffield, S. Liouville quantum gravity and the Brownian map III: the conformal structure is determined (Submitted)
- Miller, J.P., Sheffield, S., Werner, W. Non-simple SLE curves are not determined by their range (To appear in the Journal of the European Mathematical Society)
- Gwynne, E., Miller, J.P. Chordal SLE(6) explorations of a quantum disk (Electronic Journal of Probability)
- Gwynne, E., Miller, J.P. Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk (Annales Institut Henri Poincare)
- Gwynne, E., Miller, J.P. Characterizations of SLE(κ) for κ in (4,8) on Liouville quantum gravity (Submitted)
- Gwynne, E., Miller, J.P. Convergence of percolation on uniform quadrangulations with boundary to SLE(6) on sqrt(8/3)-Liouville quantum gravity (Submitted)
- Miller, J.P., Werner., W. Connection probabilities for conformal loop ensembles (Communications in Mathematical Physics)
- Gwynne, E., Miller, J.P., Sheffield, S. The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity (Submitted)
- Gwynne, E., Miller, J.P. Random walk on random planar maps: spectral dimension, resistance, and displacement (Submitted)
- Miller, J.P. Liouville quantum gravity as a metric space and a scaling limit (Proceedings of the ICM 2018)
- Gwynne, E., Miller, J.P., Sheffield, S. Harmonic functions on mated-CRT maps (Electronic Journal of Probability)
- Gwynne, E., Miller, J.P., Sheffield, S. An invariance principle for ergodic scale-free random environments (Submitted)
- 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 (To appear in Communications in Mathematical Physics)
- McEnteggart, O., Miller, J.P., Qian, W. Uniqueness of the welding problem for SLE and Liouville quantum gravity (To appear in Journal of the Instxsitute of Mathematics of Jussieu)
- 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))
- Miller, J.P., Qian, W. The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions (To appear in Probability Theory and Related Fields)
- Gwynne, E., Miller, J.P. Local metrics of the Gaussian free field (To appear in Annales de l’Institut Fourier)
- Gwynne, E., Miller, J.P. Confluence of geodesics in Liouville quantum gravity for gamma in (0,2) (To appear in Annals of Probability)
- Gwynne, E., Miller, J.P. Existence and uniqueness of the Liouville quantum gravity metric for gamma in (0,2) (Submitted)
- Gwynne, E., Miller, J.P. Conformal covariance of the Liouville quantum gravity metric for gamma in (0,2) (Submitted)
- Miller, J.P., Sheffield, S., Werner, W. Simple conformal loop ensembles on Liouville quantum gravity (Submitted)
- Miller, J.P., Sheffield, S. CLE(4) and the Gaussian Free Field. (in preparation)

** Editorial and refereeing **

**Talks, visits, conferences attended**

- Joint meetings of the AMS, January 2008
- La Pietra week in probability (Quasi-stationary ROSts and the Continuous Cascades), June 2008
- CRM meeting on Stochastic Loewner Evolution and Interfaces, August 2008
- Microsoft Research (Thick Points of the Gaussian Free Field), August 2008
- UC Davis probability seminar (Thick Points of the Gaussian Free Field), October 2008
- CRM meeting on Random Functions, Surfaces, and Interfaces (Thick Points of the Gaussian Free Field), January 2009
- Stanford JPDE seminar, three introductory talks on SLE, February 2009
- Stanford probability seminar (Thick Points of the Gaussian Free Field), April 2009
- Columbia-Princeton probability day (Thick Points of the Gaussian Free Field), May 2009
- Graduate Student Probability Conference (Thick Points of the Gaussian Free Field), May 2009
- UBC Meeting on Random Walk in Random Environment, June 2009
- 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
- Microsoft Research (Illuminating the Uncovered Set of Random Walk), August 2009
- Stanford Probability Seminar (Fluctuations and Contours for the Ginzburg-Landau Model on a Bounded Domain), January 2010
- Berlin-Leipzig Seminar on Analysis and Probability (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), January 2010
- Inhomogeneous Random Systems, Gradient Models (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), January 2010
- University of Minnesota Probability Seminar (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), February 2010
- Berkeley Probability Seminar (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), April 2010
- Graduate Student Probability Conference (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), April 2010
- ETH Zurich Seminar on Stochastic Processes (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), May 2010
- University of Geneva Physical Mathematics Seminar (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), May 2010
- Conformal maps from probability to physics (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), May 2010
- Microsoft Research (Fluctuations and Contours of the Ginzburg-Landau Model on a Bounded Domain), May 2010
- SPA 2010, Large Scale Interacting Systems, Osaka, Japan, September, 2010
- Large scale interacting systems (SPA Satellite), Tokyo, Japan, September 2010
- 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
- Stanford Probability Seminar (CLE(4) and the Gaussian Free Field), November, 2010
- MIT Probability Seminar (CLE(4) and the Gaussian Free Field), November, 2010
- Columbia Probability Seminar (CLE(4) and the Gaussian Free Field), November, 2010
- University of Washington Probability Seminar (CLE(4) and the Gaussian Free Field), November, 2010
- NYU Probability Seminar (CLE(4) and the Gaussian Free Field), February, 2011
- MIT Probability Seminar (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains), February, 2011
- UBC Probability Seminar (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains), April, 2011
- Stanford Probability Seminar (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains), April, 2011
- Oberwolfach (AC Geometry of the Gaussian Free Field), May, 2011
- Northwest probability seminar (Imaginary Geometry and the Gaussian Free Field), October, 2011
- Northwestern colloquium (Imaginary Geometry and the Gaussian Free Field), November, 2011
- MIT probability seminar (Imaginary Geometry and the Gaussian Free Field), November, 2011
- University of Chicago probability seminar (Imaginary Geometry and the Gaussian Free Field), February 2012
- MSRI Statistical Mechanics and Conformal Invariance (Imaginary Geometry and the Gaussian Free Field), March 2012
- Michigan state mathematical physics seminar, (SLE and the Gaussian Free Field), April 2012
- Michigan state probability seminar, (Imaginary Geometry and the Gaussian Free Field), April 2012
- Advances in Percolation and Related Topics (Imaginary Geometry and the Gaussian Free Field), May, 2012
- Random Media II, Sendai, Japan (Imaginary Geometry and the Gaussian Free Field), September 2012
- Cambridge University center for analysis minicourse (Imaginary Geometry and the Gaussian free field) lectures, November 2012
- ETH Zurich probability seminar (Imaginary Geometry and the Gaussian Free Field), November 2012
- University of Geneva physical mathematics seminar (Reversibility for SLE for kappa in (4,8), November 2012
- Winter meeting of the Canadian Mathematical Society (Imaginary Geometry and the Gaussian Free Field), December 2012
- IMPA combinatorics seminar (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains), December 2012
- Carnegie Mellon University ACO seminar (Uniformity of the Uncovered Set for Random Walk and Cutoff for Lamplighter Chains) January 2013
- Harvard probability seminar (Imaginary Geometry and the Gaussian Free Field), February 2013
- Planar statistical physics, Les Diablerets, Switzerland minicourse (Imaginary Geometry and the Gaussian Free Field), February 2013
- UK Easter meeting (Imaginary Geometry and the Gaussian Free Field), April, 2013
- IPAM meeting on quasiconformal mappings (Imaginary Geometry and the Gaussian Free Field), May, 2013
- Cornell probability summer school (Imaginary Geometry and the Gaussian Free Field), July, 2013
- SPA 2013, SLE and related topics (Imaginary Geometry and the Gaussian Free Field), August, 2013
- Planar Statistical Physics II, Les Diablerets, Switzerland minicourse (Quantum Loewner Evolution), February 2014
- University of Michigan Probability Seminar (Random surfaces and Quantum Loewner Evolution), April 2014
- Columbia-Princeton Probability Day (Random Surfaces and Quantum Loewner Evolution), April 2014
- University of Washington Analysis Seminar (Random Surfaces and Quantum Loewner Evolution), April 2014
- Brown University Probability Seminar (Random Surfaces and Quantum Loewner Evolution), April 2014
- Stanford Mathematics Colloquium (Random Surfaces and Quantum Loewner Evolution), June 2014
- Barrett Lectures (Random Surfaces and Quantum Loewner Evolution), June 2014
- Two-Dimensional Random Critical Models minicourse (Quantum Loewner Evolution), July 2014
- Probability on Trees and Planar Graphs (Random Surfaces and Quantum Loewner Evolution), September 2014
- Advances in Probability: Integrability, Universality, and Beyond (Liouville Quantum Gravity as a Mating of Trees), September 2014
- Cambridge minicourse on the GFF, January 2015
- Newton Institute Institute Conformally invariant scaling limits, (Liouville Quantum Gravity as a Mating of Trees) January 2015
- Topics on low dimensional statistical mechanics, Les Diablerets (Liouville Quantum Gravity as a Mating of Trees), February 2015
- Warwick combinatorics seminar (Liouville Quantum Gravity as a Mating of Trees), March 2015
- Stony Brook colloquium 2015 (Liouville Quantum Gravity as a Mating of Trees), March 2015
- AMS talk 2015 (Almost Sure Multifractal Spectrum of SLE), March 2015
- Newton Institute Geometry of random walks and SLE (Liouville Quantum Gravity and the Brownian map) June 2015
- SPA 2015 (Liouville Quantum Gravity and the Brownian map), July 2015
- International congress of mathematical physics (Liouville Quantum Gravity as a Mating of Trees), July 2015
- Recent trends in stochastic analysis (Liouville Quantum Gravity and the Brownian Map), September 2015
- Oxford probability seminar (Liouville Quantum Gravity as a Mating of Trees), October 2015
- Bristol probability seminar (Liouville Quantum Gravity and the Brownian Map), October 2015
- 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
- Warwick probability seminar (CLE percolations), February 2016
- UK Easter probability meeting (Quantum Loewner Evolution, minicourse), April 2016
- Recent developments in SLE, Mittag-Leffler (The peanosphere perspective on SLE and Liouville quantum gravity), June 2016
- St Flour Probability Summer School (Universal randomness in 2D), with S. Sheffield, July 2016
- IHES minicourse (Liouville quantum gravity and the Brownian map), September 2016
- University of Marseille Probability Seminar (Liouville quantum gravity and the Brownian map), September 2016
- 2nd French-Russian Conference Random Geometry and Physics (Liouville quantum gravity and the Brownian map), October 2016
- Symposium in honor of Wendelin Werner on the occasion of the Heinz Gumin Prize (CLE percolations), December 2016
- 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
- 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
- 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
- MIT probability seminar (CLE percolations), April 2017
- ENS Lyon (Introduction to the Gaussian free field and Liouville quantum gravity, minicourse), May 2017
- Oxford stochastic analysis seminar (Convergence of percolation on uniform quadrangulations), May 2017
- Random Geometry in Cambridge closing workshop (Convergence of percolation on uniform quadrangulations), June 2017
- String Math (Equivalence of Liouville quantum gravity and the Brownian map), July 2017
- Exact methods in low dimensional statistical physics (Equivalence of Liouville quantum gravity and the Brownian map), July 2017
- Randomness and Graphs Eurandom (Convergence of percolation on uniform quadrangulations), September 2017
- Oberwolfach seminar: Scaling limits of random planar maps and Liouville quantum gravity, minicourse, October 2017
- Trinity maths society (Random trees), November 2017
- Princeton math colloquium (Equivalence of Liouville quantum gravity and the Brownian map), November 2017
- Queen Mary University probability seminar (Convergence of percolation on random quadrangulations), November 2017
- Second Haifa Probability School (The continuum Gaussian free field and Liouville quantum gravity, minicourse), December 2017
- Bath probability seminar (Convergence of percolation on random quadrangulations), April 2018
- IST Austria probability summer school (Introduction to Liouville quantum gravity and the Gaussian free field, minicourse), June 2018
- SPA 2018, Gaussian multiplicative chaos and Liouville quantum gravity (Random walks on random planar maps), June 2018
- SPA 2018, Branching in random trees and maps (Convergence of percolation on random quadrangulations), June 2018
- Random Conformal Geometry and Related Fields (Non-simple SLE curves are not determined by their range), Seoul, June 2018
- Interplay of Random Media and Stochastic Interface Models (Random walks on random planar maps), Berlin, June 2018
- Random geometry follow-up (minicourse on random walks on random planar maps), Cambridge UK, July 2018
- Geometry and scaling of random structures (Introduction to the Gaussian free field and Liouville quantum gravity, minicourse), CIMPA Argentina, July 2018
- Brazil probability summer school (Convergence of percolation on random quadrangulations), August 2018
- International Congress of Mathematicians (Liouville quantum gravity as a metric space and a scaling limit), Rio, August 2018
- LMS prospects meeting (Two dimensional random geometry), Warwick, September 2018
- Scaling limits in Models of Statistical Mechanics (Brownian motion on Brownian surfaces), Oberwolfach, September 2018
- Gaussian free fields (Brownian motion on Brownian surfaces), Kyoto Japan, September 2018
- Clay research conference, September 2018
- Fractal Geometry and Stochastics 6 (Brownian motion on Brownian surfaces), Germany, October 2018
- Dynamics and moduli spaces of translation surfaces (Equivalence of Liouville quantum gravity and the Brownian map), Fields institute, October 2018
- Athens probability colloquium (Random planar geometry), April 2019
- University of Athens math seminar (Percolation in conformal loop ensembles), April 2019
- Probability and quantum field theory (Existence and uniqueness of the Liouville quantum gravity metric), Porquerolles France, June 2019
- Paths between Probability, PDEs, and Physics (Existence and uniqueness of the Liouville quantum gravity metric), Imperial, July 2019
- SPA 2019 (Existence and uniqueness of the Liouville quantum gravity metric), Chicago, July 2019

**Teaching**

University of Cambridge

- Probability and Measure, Michaelmas 2015
- Stochastic Calculus, Lent 2016
- Probability and Measure, Michaelmas 2016
- Schramm-Loewner evolutions, Lent 2017
- Schramm-Loewner evolutions, Lent 2018
- Schramm-Loewner evolutions, Lent 2019

Massachusetts Institute of Technology

- 18.03 (Differential equations) recitation leader, Spring 2014
- 18.03 (Differential equations) recitation leader, Fall 2014
- 18.177 (Topics in stochastic processes) course instructor, Fall 2014

Stanford

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

University of Michigan

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