Lalin, Matilde
- Professeure titulaire
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Faculté des arts et des sciences - Département de mathématiques et de statistique
André-Aisenstadt Local 5145
Courriels
Affiliations
- Membre Centre de recherches mathématiques
- Membre CRM Centre de recherches mathématiques
Cours donnés
- MAT6650 A - Théorie algébrique des nombres
Expertise
- Polylogarithmes
- Nombre de points des courbes sur des corps finis
- Valeurs spéciales de fonctions L
- Théorie des nombres
- Régulateurs
- Périodes
- Polynômes
- Volumes hyperboliques
Mahler measure, special values of L-functions, Beilinson's conjectures, zeta values, polylogarithms, periods, regulators, knots, hyperbolic volumes.
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Projets de recherche Tout déplier Tout replier
Centre de recherches mathématiques (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2022 - 2029
Several aspects of Lfunctions CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2022 - 2028
Statistiques de tordues cubiques de fonctions L et d'autres familles FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2021 - 2025
Tordues cubiques de fonctions L et courbes elliptiques FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2018 - 2023
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 - 2023
MAHLER MEASURE AND CURVES OVER FINITE FIELDS CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2013 - 2023
Mahler measure and curves over finite fields / 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 / 2011 - 2013
PERIODS ARISING FROM MAHLER MEASURE, HYPERBOLIC VOLUMES, AND RELATED TOPICS / 2010 - 2012
Publications choisies Tout déplier Tout replier
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 $g$
Equations for Mahler measure and isogenies
Mahler measure of some singular $K3$-surfaces
Mahler measure of multivariable polynomials
WIN2 - Women in Numbers 2
Unimodularity of zeros of self-inversive polynomials
Variations of the Ramanujan polynomials and remarks on $\zeta(2j+1)/\pi^{2j+1}$
A generalization of a theorem of Boyd and Lawton
Mahler measure and elliptic curve $L$-functions at $s=3$
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
Higher Mahler measure as a Massey product in Deligne Cohomology, Low-dimensional Topology and Number Theory
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
Statistics for traces of cyclic trigonal curves over finite fields
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