Lalin, Matilde

- Full Professor
-
Faculty of Arts and Science - Department of Mathematics and Statistics
André-Aisenstadt Office 5145
Courriels
Affiliations
- Membre - CRM Centre de recherches mathématiques
Directed students
Courses
- MAT1500 H - Mathématiques discrètes
Research area
- Algebra
- Polylogarithm
- Number of solutions of curves in finite fields
- Special value of L-functions
- Number theory
- Regulators
- Period
- Polynomials
- Hyperbolic volumes
Student supervision Expand all Collapse all
Abstract
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Research projects Expand all Collapse all
Tordues cubiques de fonctions l et courbes elliptiques FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2018 - 2022
Centre de recherches mathematiques (crm) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2015 - 2022
Mahler measure and curves over finite fields CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2013 - 2022
Mahler measure and curves over finite fields CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2013 - 2018
Distribution de zeros de familles des courbes sur des corps finis et courbes de artin-schreier FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2012 - 2016
Exemples de mesure de mahler superieure dans le cas expansif FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2011 - 2015
Exemples de mesure de mahler supérieure dans le cas expansif FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2011 - 2013
Periods arising from mahler measure, hyperbolic volumes, and related topics FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2010 - 2012
Selected publications Expand all Collapse all
Higher Mahler measure of an $n$-variable family
Secant zeta functions
Statistics for ordinary Artin-Schreier covers and other $p$-rank strata
The number of irreducible polynomials with first two prescribed coefficients over a finite field
The distribution of $\mathbb{F}_q$-points on cyclic $\ell$-covers of genus $g$
Mahler measure and elliptic curve $L$-functions at $s=3$
A generalization of a theorem of Boyd and Lawton
Variations of the Ramanujan polynomials and remarks on $\zeta(2j+1)/\pi^{2j+1}$
Unimodularity of zeros of self-inversive polynomials
Equations for Mahler measure and isogenies
Mahler measure of some singular $K3$-surfaces
Mahler measure of multivariable polynomials
WIN2 - Women in Numbers 2
Distribution of zeta zeroes of Artin-Schreier covers
Higher Mahler measure for cyclotomic polynomials and Lehmer's question
Biased statistics for traces of cyclic p-fold covers over finite fields
Statistics for traces of cyclic trigonal curves over finite fields
Higher Mahler measure as a Massey product in Deligne Cohomology
Fluctuations in the number of points on smooth plane curves over finite fields
On a conjecture by Boyd
Higher Mahler measure as a Massey product in Deligne Cohomology, Low-dimensional Topology and Number Theory
Mahler measure under variations of the base group
On the recurrence of coefficients in the L\"uck-Fuglede-Kadison determinant
Higher Mahler measures and zeta functions
Mahler measures and computations with regulators
An algebraic integration for Mahler measure
On the Mahler measure of resultants in small dimensions
Functional equations for Mahler measures of genus-one curves
On certain combination of colored multizeta values
Mahler measure of some $n$-variable polynomial families
Mahler measure and volumes in hyperbolic space
Some examples of Mahler measures as multiple polylogarithms