List of publications and preprints

• Limit shapes for skew Howe duality (with A. Nazarov and T. Scrimshaw, to appear, 2022, arXiv)

• Peaks of cylindric plane partitions (with A. Occelli, Séminaire Lotharingien de Combinatoire, 2022, arXiv)

• The half-space Airy stat process (with P. Ferrari and A. Occelli, Stochastic Processes and their Applications, 2022, arXiv)

• Multicritical random partitions (with J. Bouttier and H. Walsh, Séminaire Lotharingien de Combinatoire, 2021, arXiv)

• Muttalib–Borodin plane partitions and the hard edge of random matrix ensembles (with A. Occelli, Séminaire Lotharingien de Combinatoire, 2021, arXiv)

• Discrete and continuous Muttalib--Borodin processes I: the hard edge (with A. Occelli, 2020, arXiv)

• Stationary half-space last passage percolation (with P. Ferrari and A. Occelli, Communications in Mathematical Physics, 2020, arXiv)

• Determinantal point processes from symplectic and orthogonal characters and applications (Séminaire Lotharingien de Combinatoire, 2020, arXiv)

• New edge asymptotics of skew Young diagrams via free boundaries (with J. Bouttier, P. Nejjar and M. Vuletić, Séminaire Lotharingien de Combinatoire, 2019, arXiv)

• The periodic Schur process and free fermions at finite temperature (with J. Bouttier, Mathematical Physics, Analysis and Geometry, 2019, arXiv)

• The free boundary Schur process and applications I (with J. Bouttier, P. Nejjar and M. Vuletić, Annales Henri Poincaré, 2018, arXiv)

• Correlations for symplectic and orthogonal Schur measures (arXiv:1804.08495 [math-ph], 2018, arXiv)

• The free boundary Schur process and applications (with J. Bouttier, P. Nejjar and M. Vuletić, Séminaire Lotharingien de Combinatoire, 2017, arXiv)

• On the combinatorics of last passage percolation in a quarter square and GOE^2 fluctuations (arXiv:1809.06792 [math-ph], 2018, arXiv)

• Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices (with M. Wheeler, Journal of Combinatorial Theory Series A, 2016, arXiv)

• Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjectures (with M. Wheeler and P. Zinn—Justin, Journal of Algebraic Combinatorics, 2015, arXiv)

• Perfect sampling algorithm for Schur processes (with C. Boutillier, J. Bouttier, G. Chapuy, S. Corteel and M. Vuletić, Markov Processes and Related Fields, 2018, arXiv)

• Elliptically distributed lozenge tilings of a hexagon (Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2018, arXiv)

Other publications and output

• Elliptic combinatorics and Markov processes, PhD thesis, available online from the Caltech Library, https://thesis.library.caltech.edu/7115/

• Random plane partitions, simulation and popularization article made for the LPSM Sorbonne Université website, http://simulations.lpsm.paris/random_partitions/

• Phenomena inside the Aztec diamond (with A. Borodin and M. Borodin), simulation and popularization website for ‘arctic circle’ phenomena inside the Aztec diamond, http://math.mit.edu/~borodin/aztec_phenomena.html

• Popular presentation and physical demonstration of tilings of the Aztec diamond, in collaboration with the Math. Dept. at the Uniersité d’Angers Science Festival, October, 2018

• Various physical representations of Plancherel measures and uniform tilings of the Aztec diamond (made in Lego bricks), in various collections like e.g. the library of Institut Henri Poincaré https://www.instagram.com/p/BuwbV8wHY0e/

Currently writing

• The free boundary Schur process and applications II (with J. Bouttier, P. Nejjar and M. Vuletić)

• Large pyramid partitions and other steep tilings (with C. Boutillier and M. Vuletić)

• Multi-critical Schur measures (with J. Bouttier and H. Walsh)

Notes (teaching, slides, etc.)

• Notes on Schur measures and unitary matrix ensembles (mini-course given at the January 2021 meeting of the Random Matrices and Random Graphs GdT) are here