Jonathan Novak
Current Address
Department of Mathematics
University of California, San Diego
9500 Gillman Drive, #0112
La Jolla, CA 92093-0112
USA
Personal Data
Born in Toronto, Canada
US Permanent Resident
Erdős Number: 3
[email protected]
math.ucsd.edu/˜jinovak
Employment
UCSD
MIT
MSRI & Waterloo
Assistant Professor
Instructor in Applied Math
Postdoctoral Fellow
July 2015 – present
July 2011 – July 2015
Jan. 2010 – July 2011
Research Visits
Institut Henri Poincaré
Université Paris Diderot
Professeur invité
Professeur invité
Jan. 2017 – Mar. 2017
May 2014 – Jun. 2014
Education
PhD
MSc
BMath
Queen’s University
Queen’s University
University of Waterloo
Jan. 2006 – Nov. 2009
Sep. 2004 – Jan. 2006
Sep. 2000 – Jun. 2004
Publications
Novak: A moment method for invariant ensembles, in preparation.
Collins, Novak, Śniady: Semiclassical analysis of GLN (C) tensor products and quantum random matrices, submitted.
Goulden, Guay-Paquet, Novak: On the convergence of monotone Hurwitz generating functions, Ann. Comb.
21 (2017), 73-81.
Goulden, Guay-Paquet, Novak: Toda equations and piecewise polynomiality for mixed double Hurwitz numbers, SIGMA Symmetry, Integrability, Geom. Methods Appl. 12 (2016), 40-50.
Neeranartvong, Novak, Sothanaphan: A curved Brunn-Minkowski inequality for the symmetric group, Electron. J. Combin. 23 (2016) P1.27.
Novak: Lozenge tilings and Hurwitz numbers, J. Stat. Phys. 161 (2015), 509-517.
Guionnet, Novak: Asymptotics of unitary multimatrix models: Schwinger-Dyson equations and topological recursion, J. Funct. Anal. 268 (2015), 2851-2905.
Goulden, Guay-Paquet, Novak: Monotone Hurwitz numbers and the HCIZ integral, Ann. Math. Blaise Pascal
21 (2014), 71-89.
Goulden, Guay-Paquet, Novak: Polynomiality of monotone Hurwitz numbers in higher genera, Adv. Math., 238 (2013),
1-23.
Goulden, Guay-Paquet, Novak: Monotone Hurwitz numbers in genus zero, Canad. J. Math., 65 (2013), 10201042.
Novak: Pólya’s random walk theorem, Amer. Math. Monthly, 121(8) (2014).
Novak: Three lectures on free probability, MSRI Publications, Vol. 65 (2014).
Matsumoto, Novak: Jucys-Murphy elements and unitary matrix integrals, Int. Math. Res. Not. IMRN, 2 (2013),
362-397.
Novak: An asymptotic version of a theorem of Knuth, Adv. in Appl. Math. 47(1) (2011), 49-56.
Curriculum Vitæ
Jonathan Novak
April 8, 2017
Novak, Śniady: What is. . . a free cumulant?, Not. Amer. Math. Soc. 58(2) (2011), 300-301.
Matsumoto, Novak: Primitive factorizations, Jucys-Murphy elements, and matrix models, Discrete Math. Theor. Comput. Sci., FPSAC 2010, 403-412.
Novak: Jucys-Murphy elements and the Weingarten function, Banach Center Publ. 89 (2010), 231-235.
Novak: Vicious walkers and random contraction matrices, Int. Math. Res. Not. IMRN 17 (2009), 3310-3327.
Novak: Vicious random walkers and truncated Haar unitaries, In “Quantum Probability and Related Topics:
Proceedings of the 28th Conference.” World Scientific (2008).
Novak: Truncations of random unitary matrices and Young tableaux, Electron. J. Combin. 14 (2007) R21.
Conference Lectures
Mathematical Congress of the Americas: Free Probability Section. Montréal, July 2017.
Asymptotic Representation Theory. IHP, Paris, February 2017.
Large Random Structures in Two Dimensions. IHP, Paris, January 2017.
Combinatorics and Interactions: Introductory School. CIRM, Marseille, January 2017.
Analytic vs. Combinatorial in Free Probability. BIRS, Banff, December 2016.
Clifford Lectures. Tulane University, New Orleans, November 2016.
Six-Vertex Model, Dimers, Shapes, and All That. Simons Center, Stony Brook, March 2016.
CMS Winter Meeting: Probability and Statistical Mechanics Section. Montréal, December 2015.
C ∗ -Algebras, Random Matrices, Free Probability, and Beyond. Kingston, October 2015.
Random Matrices, Random Growth Models and Statistical Physics. Simons Center, Stony Brook, September
2015.
Quantum Groups & Quantum Information Theory. Herstmonceux Castle, Herstmonceaux, July 2015.
Free Probability and the Large N Limit IV. UC Berkeley, Berkeley, March 2014.
Joint Meetings of the AMS: Random Matrices Section. Baltimore, January 2014.
Joint Meetings of the AMS: Free Probability Section. Baltimore, January 2014.
CMS Winter Meeting: Operator Algebras Section. Ottawa, December 2013.
Noncommutative Distributions and Free Probability. Fields Institute, Toronto, July 2013.
Eastern AMS Sectional Meeting: Combinatorics and Classical Integrability Section. Boston College, Boston, April
2013.
Western AMS Sectional Meeting: Asymptotic Analysis of Random Matrices Section. University of Arizona, Tucson, October 2012.
Advances in Random Matrix Theory. IMA, University of Minneapolis, Minnesota, June 2012.
40th Canadian Operator Symposium (COSy). Queen’s University, Kingston, May 2012.
Joint Meetings of the AMS: Enumerative and Algebraic Combinatorics Section. Boston, January 2012.
CMS Winter Meeting: Algebraic Combinatorics Section. Toronto, December 2011.
Eastern AMS Sectional Meeting: Combinatorial Representation Theory Section. College of the Holy Cross,
Worcester, April 2011.
Permutation Patterns VIII. Dartmouth College, Hanover, August 2010.
Formal Power Series and Algebraic Combinatorics XXII. San Francisco State University, San Francisco, August
2010.
Free Probability and the Large N Limit II. IPAM, UCLA, Los Angeles, February 2010.
Sparse Random Structures: Analysis and Computation. BIRS, Banff, January 2010.
Free Probability and Random Combinatorial Structures. Bielefeld University, Bielefeld, December 2009.
CORS/Informs International Meeting. Toronto, June 2009.
CMS Winter Meeting: Operator Algebras Section. Ottawa, December 2008.
11th Workshop on Non-commutative Harmonic Analysis with Applications to Probability. Banach Center, Poznan,
August 2008.
36th Canadian Operator Symposium (COSy). Fields Institute, Toronto, May 2008.
Quantum Probability and Related Topics. CIMAT, Guanajuato, September 2007.
Curriculum Vitæ
Jonathan Novak
April 8, 2017
Seminar/Colloquium Lectures
Combinatorics Seminar. UCLA, Los Angeles, April 2017.
Functional Analysis Seminar. UCLA, Los Angeles, April 2017.
Probabilistic Operator Algebras Seminar. UC Berkeley, Berkeley, March 2017.
Discrete Math Seminar. Brown University, Providence, November 2016.
Probability Seminar. MIT, Cambridge, November 2016.
Integrable Probability Seminar. MIT, Cambridge, November 2016.
Everytopic Seminar. Brandeis University, Waltham, March 2015.
Mathematics Department Colloquium. University of Washington, Seattle, January 2015.
Mathematics Department Colloquium University of Toronto, Torono, January 2015.
Mathematics Department Colloquium. University of Virginia, Charlottesville, January 2015.
Mathematics Department Colloquium. Georgia Institute of Technology, Atlanta, January 2015.
Mathematics Department Colloquium UCSD, San Diego, December 2014.
Mathematics Department Colloquium University of Minneapolis, Minnesota, December 2014.
Mathematical Physics Seminar. CRM, Montreal, November 2014.
Probability and Statistical Physics Seminar. University of Chicago, Chicago, November 2014.
Probability and Mathematical Physics Seminar. Courant Institute, New York, October 2014.
Combinatorics and Algebraic Geometry Seminar. University of Philadelphia, Pennsylvania, October 2014.
Probability and Discrete Math Seminar University of Delaware, Newark, October 2014.
Mathematics Department Colloquium. Queen’s University, Kingston, September 2014.
Random Matrix Seminar Universitat Des Saarlandes, Saarbruecken, June 2014.
Mathematical Physics Seminar Université Paris Pierre et Marie Curie, Paris, June 2014.
Séminaire de Combinatoire Philippe Flajolet. IHP, Paris, June 2014.
Combinatorics Seminar Université Paris Diderot, Paris, May 2014.
Mathematics Department Colloquium. North Carolina State University, Raleigh, February 2014.
Mathematics Department Colloquium. University of Arizona, Tucson, January 2014.
Mathematics Department Colloquium. University of Kansas Lawrence, January 2014.
Combinatorics Seminar. MIT, Cambridge, December 2013.
Probability Seminar. Harvard University, Cambridge, April 2013.
IAP Lecture Series. MIT, Cambridge, January 2013.
IAP Lecture Series. MIT, Cambridge, January 2012.
Probability Seminar. MIT, Cambridge, November 2011.
Random Matrices Seminar. Harvard University, Cambridge, October 2011.
Random Matrices Seminar. Queen’s University, Kingston, May 2011.
Combinatorics Seminar. University of Michigan, Ann Arbor, February 2011.
Mathematics Department Colloquium. IUPUI, Indianapolis, January 2011.
Combinatorics Seminar . MIT, Cambridge, December 2010.
Random Matrices Seminar. MSRI, Berkeley, November 2010.
Algebra and Discrete Mathematics Seminar. UC Davis, Davis, October 2010.
Toronto Probability Seminar. Fields Institue, Toronto, April 2010.
Algebraic Combinatorics Seminar. Institut Gaspard Monge, Marne-la-Vallée, November 2009.
Random Matrices Seminar. University of Ottawa, Ottawa, August 2009.
Geometric Function Theory Seminar. University of Michigan, Ann Arbor, December 2008.
Harmonic Analysis Seminar. University of Wroclaw, Wroclaw, August 2008.
Free Probability Seminar. Texas A&M, College Station, October 2007.
Mini-courses
Introduction to Free Probability. Harvard University, Cambridge, November, 2011.
Introduction to Free Probability. MSRI, Berkeley, November, 2010.
Curriculum Vitæ
Jonathan Novak
April 8, 2017
Teaching
Graduate Combinatorics (Math 264C: UCSD, Spring 2017)
Linear Algebra (Math 18: UCSD, Spring 2017)
Graduate Combinatorics (Math 264A: UCSD, Fall 2016)
Discrete Mathematics and Graph Theory (Math 154: UCSD, Spring 2016)
Calculus for Science and Engineering II (Math 20B: UCSD, Winter 2016)
Calculus for Science and Engineering I (Math 20A: UCSD, Fall 2015)
Undergraduate Seminar in Discrete Mathematics (18.304: MIT, Spring 2015)
Principles of Discrete Applied Mathematics (18.310 Recitations: MIT, Fall 2014)
Algebraic Combinatorics (18.312: MIT, Spring 2014)
Undergraduate Seminar in Discrete Mathematics (18.304: MIT, Fall 2013)
Differential equations (18.03 Recitations: MIT, Spring 2013)
Combinatorial Analysis (18.314: MIT, Fall 2012)
Undergraduate Seminar in Discrete Mathematics (18.304: MIT, Spring 2012)
Calculus (18.01 Recitations: MIT, Fall 2011)
Discrete Mathematics (ECE 103: University of Waterloo, Winter 2010)
Linear Algebra (APSC 174: Queen’s University, Winter 2009)
Linear Algebra (APSC 174: Queen’s University, Winter 2008)
Service
Journal Refereeing: Advances in Mathematics, American Mathematical Monthly, Canadian Journal of Mathematics, Communications in Mathematical Physics, Duke Mathematical Journal, Electronic Communications in Probability, Journal of the American Mathematical Society, Journal of Mathematical Physics, Latin American Journal of
Probability and Mathematical Statistics, Physical Review Letters, Probability Theory and Related Fields, Transactions of the American Mathematical Society, The Ramanujan Journal. Conferences: Formal Power Series and
Algebraic Combinatorics (FPSAC 2016).
Seminar organization: MIT combinatorics seminar (2013-2015), UCSD Undergraduate Mathematics Colloquium (Fall 2015).
Mentoring: Next Step Program, Revelle College UCSD, Spring 2016; MIT Undergraduate Research Opportunities (UROP), Spring 2015, Fall 2014, Spring 2014.
Outreach: Speaker for “What’s going on in combinatorics,” UCSD Graduate Open House, Spring 2016.
Speaker at the award banquet for the San Diego High School Honors Mathematics Contest.
PhD defenses/advancements: External examiner for: The Flag Descent Algebra and the Colored Eulerian Descent Algebra, Matthew Moynihan under Ira Gessel at Brandeis University, August 2012.