Jacopo Borga
Szego Assistant Professor of Mathematics
Academic Appointments
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Szego Asst Professor, Mathematics
Honors & Awards
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Bernoulli Society New Researcher Award, Bernoulli Society (2021)
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PhD thesis distiction, Faculty of Science, University of Zurich (2021)
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Certificate of merit, Municipality of Ponzano Veneto (2018)
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Major de la promotion 2017, Université Paris 13 (2017)
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MIEM USPC Scholarships for International Students in France, University Sorbonne Paris Cité (USPC) (2016)
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Math competitions of Cesenatico (Gold medal), Italian Team Maths Competition (2012)
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INdAM fellowship, Istituto Nazionale di Alta Matematica Francesco Severi (2012)
Professional Education
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Ph.D in Mathematics (distiction), Institut für Mathematik, Universität Zürich, Zürich, Mathematics (2021)
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M.Sc in Mathematics, Università degli Studi di Padova, Mathematics (2018)
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M.Sc in Mathematics (M2), Université Sorbonne Paris Cité (USPC), Mathematics (2017)
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B.Sc in Mathematics, Università degli Studi di Padova, Mathematics (2015)
Current Research and Scholarly Interests
My research area is probability theory with connections to combinatorics. I mainly focus on the study of various random discrete structures such as random permutations, walks, trees and planar maps. I am interested in their continuous and discrete limits and I look at universality phenomena. I introduced a universal family of limiting permutons, called "skew Brownian permuton", and explored its connections with Liouville quantum gravity. I also studied some polytopes arising from permutations.
2023-24 Courses
- Discrete Probabilistic Methods
MATH 159 (Aut) - Introduction to Probability Theory
MATH 151 (Win) - Stochastic Processes
MATH 136, STATS 219 (Win) -
Independent Studies (3)
- Advanced Reading and Research
MATH 360 (Aut, Win, Spr) - Reading Topics
MATH 199 (Aut) - Senior Honors Thesis
MATH 197 (Win, Spr)
- Advanced Reading and Research
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Prior Year Courses
2022-23 Courses
- Discrete Probabilistic Methods
MATH 159 (Win) - Functions of a Complex Variable
MATH 106 (Aut) - Introduction to Probability Theory
MATH 151 (Win) - Stochastic Processes
MATH 136, STATS 219 (Aut)
2021-22 Courses
- Discrete Probabilistic Methods
MATH 159 (Spr) - Introduction to Probability Theory
MATH 151 (Win) - Stochastic Processes
MATH 136, STATS 219 (Win)
- Discrete Probabilistic Methods
All Publications
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On the Geometry of Uniform Meandric Systems
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2023; 404 (1): 439-494
View details for DOI 10.1007/s00220-023-04846-y
View details for Web of Science ID 001096217400010
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Large Deviation Principle for Random Permutations (May, rnad096, 2023)
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
2023
View details for DOI 10.1093/imrn/rnad157
View details for Web of Science ID 001024928800001
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Large Deviation Principle for Random Permutations
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
2023
View details for DOI 10.1093/imrn/rnad096
View details for Web of Science ID 000988973500001
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The skew Brownian permuton: A new universality class for random constrained permutations
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
2023
View details for DOI 10.1112/plms.12519
View details for Web of Science ID 000963219400001
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The feasible regions for consecutive patterns of pattern-avoiding permutations
DISCRETE MATHEMATICS
2023; 346 (2)
View details for DOI 10.1016/j.disc.2022.113219
View details for Web of Science ID 000879417500005
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Baxter permuton and Liouville quantum gravity
PROBABILITY THEORY AND RELATED FIELDS
2023
View details for DOI 10.1007/s00440-023-01193-w
View details for Web of Science ID 000924201200001
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The permuton limit of strong-Baxter and semi-Baxter permutations is the skew Brownian permuton
ELECTRONIC JOURNAL OF PROBABILITY
2022; 27
View details for DOI 10.1214/22-EJP886
View details for Web of Science ID 000910864400018