Home Page of Matilde Lalín
Matilde Lalín
      Professeure agrégée / Associate Professor
Adresse postale: Département de mathématiques et de
statistique
Université de Montréal
CP 6128, succ. Centre-ville
Montréal, Québec, H3C 3J7, Canada
Bureau: Pavillon André-Aisenstadt 5145
Téléphone: (514)
343-6689.
Courriel: ac.laertnomu.smdTAnilalm (reverse order of
characters)
Nouvelles!!!
Enseignement Hiver 2013: MAT1500
Mathématiques discrètes
New!!!
Co-organizing (with Florian Luca
and Nigel Pitt)
Number
Theory, a Special Session at the Mathematical Congress of the Americas
2013 (August 2013, Mexico)
Personal Information:
Curriculum Vitae:
Preprints and Publications:
- Introduccion
a las
Curvas Elipticas (Introduction to Elliptic Curves), Tesis de Licenciatura, Universidad de Buenos
Aires (1999), in Spanish.
- Some
relations of Mahler measure with hyperbolic volumes and special values of
L-functions, Doctoral Dissertation,
University of Texas at Austin (2005).
- Some
examples of Mahler measures as multiple polylogarithms, J. Number Theory 103
(2003), no. 1, 85--108.
- Mahler
measure and volumes in hyperbolic space, Geom. Dedicata 107
(2004), no. 1, 211--234.
- Mahler measure of some n-variable
polynomial families, J.
Number Theory 116 (2006), no. 1, 102--139.
- On certain combination of colored
multizeta values, J. Ramanujan Math. Soc. 20
(2006), no. 1, 115--127.
- with Carlos A. D'Andrea,
On the
Mahler measure of resultants in small dimensions,
J. Pure Appl. Algebra 209
(2007), no. 2, 393--410.
- An
algebraic integration for Mahler measure, Duke Math.
J. 138 (2007), no. 3, 391--422.
- Mahler measure and computations with
regulators
,
J.
Number Theory 128 (2008), no. 5,
1231--1271.
- with Mathew D. Rogers,
Functional equations for Mahler
measures of genus-one curves, Algebra Number Theory 1
(2007), no. 1, 87--117.
- with Oliver T. Dasbach,
Mahler measure under variations of
the base group, Forum Math. 21
(2009), no. 4,
621--637.
- with Oliver T. Dasbach,
On the
recurrence of coefficients in the
Lück-Fuglede-Kadison determinant,
Proceedings of
the "Segundas Jornadas de Teoría de Números"
(Madrid 2007),
Bib. Rev. Mat. Iberoam. (2008), 119--134
(refereed).
-
with Nobushige Kurokawa and Hiroyuki
Ochiai ,
Higher Mahler measures and zeta functions, Acta Arith. 135
(2008), no. 3,
269--297.
-
On a conjecture by Boyd,
Int. J. Number
Theory 6 (2010), no. 3, 705--711.
- with Pablo
Bianucci, Marco
Leonardo Bianucci (also available: first draft, revised version,
journal proofs),
Royal Alex.
Hosp. Apr 30 (2009),
w. 4230, l. 560
-
with Alina Bucur, Chantal David, and
Brooke Feigon,
Statistics for traces of cyclic trigonal curves over finite
fields,
Int.
Math. Res. Not. IMRN 2010, no. 5,
932--967
-
with Alina Bucur, Chantal David, and
Brooke Feigon,
Biased statistics for traces of cyclic p-fold covers over finite
fields,
WIN---Women in Numbers, Fields Institute Communications, vol. 60,
Amer. Math. Soc., Providence, RI, 2011, pp. 121--143.
(refereed)
-
with
Alina Bucur, Chantal David, and
Brooke Feigon,
Fluctuations in the number of points on smooth plane curves
over finite fields, J.
Number Theory 130 (2010), no. 11, 2528 -- 2541.
-
with
Kaneenika
Sinha, Higher Mahler measure for
cyclotomic polynomials and Lehmer's question,
Ramanujan J. 26 (2011), no. 2, 257--294
-
with
Mathew Rogers, Variations of the Ramanujan polynomials and remarks on
$\zeta(2j+1)/\pi^{2j+1}$, to appear in Funct. Approx. Comment.
Math.
-
with
Chris
Smyth, Unimodularity
of zeros of self-inversive
polynomials, Acta Math.
Hungar. 138 (2013), no.
1-2, 85--101
-
with
Alina Bucur, Chantal David,
Brooke Feigon, and Kaneenika Sinha,
Distribution of zeta zeroes of Artin--Schreier
curves, to appear in
Math. Res. Lett.
- with Zahraa Issa, A generalization of a theorem of
Boyd and Lawton,
to appear in
Canad. Math. Bull.
- Equations for Mahler measure and isogenies,
to appear in Proceedings of the ``Cuartas jornadas de teoria de
numeros'' J. Théor. Nombres Bordeaux (refereed)
-
with Marie-José Bertin, Mahler measure of
multivariable polynomials,
to
appear in Proceedings of WIN2---Women in Numbers 2 CRM Proceedings and Lecture
Notes (refereed)
-
with Marie-José Bertin, Amy Feaver, Jenny Fuselier, and Michelle
Manes, Mahler measure of some
singular
K3-surfaces,
to
appear in Proceedings of WIN2---Women in Numbers 2 CRM Proceedings and Lecture
Notes (refereed)
-
with Francis Rodrigue, and Mathew Rogers, Secant zeta functions
-
with
Alina Bucur, Chantal David, and
Brooke Feigon, Statistics for ordinary
Artin-Schreier covers and other $p$-rank strata
Talks:
- Examples of Mahler Measures as Multiple Polylogarithms, notes,
slides
and video
from my talk at The many
aspects of Mahler's measure, a workshop organized by PIMS in Banff.
Here is a picture of the
participants of the workshop.
- Examples of Mahler Measures as special values of the Riemann Zeta
fucntion and L-series, notes and
slides
from my talk at Mahler's Measure of
Polynomials, a workshop organized by PIMS and SFU in Vancouver.
- Introduction to Mahler Measure, notes from my
talk at Universidad de Buenos Aires.
- On Mahler measures of several-variable
polynomials and polylogarithms, notes
and slides from my talk at the Zeta
Functions Seminar at UC Berkeley.
- Some aspects of Mahler measure, notes
and slides
from my talk at University of Colorado at Boulder.
- Some aspects of Mahler
measure, notes
and slides
from my talk at Texas A&M University.
- An
algebraic integration for Mahler measure, slides from my talk at Variations on Mahler's
Measure, a workshop at CIRM in Luminy.
- I've also gave a couple of talks at
the Oberseminar Geometrie at the University of Fribourg, Switzerland.
- Slides from
my last talk at Universidad de Buenos Aires.
- Mahler
measure and values of regulators, slide show from my short
talk at IAS
- Regulators and computations of Mahler measure notes and slide
show from my talk at Mahler
Measure in Mobile, Alabama
- On the Mahler measure of resultants in small dimensions, notes and
slide
show from my talk at AMS Joint
Mathematics Meetings, San Antonio, Texas
- Mahler measures as values of regulators, notes and slide show
from my talk at University of British
Columbia, Vancouver, BC, Canada
- My talk at the
Topology seminar at Louisiana State
University
- My talk at the
Members seminar at IAS
- My talk at the Geometry-Topology seminar at
Georgia Institute of Technology
(GaTech)
- My talk at
the Postdoc Seminar at MSRI
- My talk at the
MSRI Number Theory Seminar at UC
Berkeley
- My talk at the
Barcelona Number
Theory Seminar
- Notes and
some slides
from my talk in Paris
- Functional equations for Mahler measures of genus-one curves, slides and notes from my
talk at MPIfM
- Slides and notes from my talk at
Bristol
- Mahler
measure of multivariable polynomials, my talk at Norwich
- My talk at SFUBC-PIMS
Number Theory seminar
- I crashed into a topology class in
Louisiana State University and
gave an Introduction to modular
forms!!!
- A few hours after I gave a talk at the Topology seminar!!!
- My talk at Alberta
- My talk at Chicago
- My talk Mahler measure under
variations of the base group at the conference A second time
around the Volume Conjecture in LSU
- Notes and slides from
Polylogarithms and Hyperbolic Volumes, my EXPOSITORY talk at Hyperbolic
Volume 2007 at Fribourg
- Slides from my talk
at the 25th Journées
Arithmétiques
- Slides from my talk
at the Lunch Number Theory Seminar in MPIfM
- Slides
from my talk at Segundas
Jornadas de Teoria de Numeros
- My talk at the
Low-dimensional Topology and Number Theory workshop in
Banff
-
My talks
at the Mahler measures conference at the
Tokyo
Institute of Technology
-
Slide show from my talk about the
history of the Riemann Hypothesis at the GAME Seminar here at U of
A.
-
Slide show from my talk at
the Colloquium in Calgary
-
Slide show from my talk at
the AMS
2008 Spring Southeastern Sectional Meeting, Baton Rouge, Louisiana
-
Slide show from my talk at
the ABC
Algebra Workshop, Simon Fraser University
- Slide show from my talk at
the Annual
North/South Dialogue in Mathematics, University of Calgary
- Slide show from my talk
at
the Number
Theory Day at the University of Lethbridge
- My talk at the CNTA
- My talk at the Université de
Montréal
-
My talks in Okinawa
-
My talk at the MIT Women in
Mathematics Lecture Series
-
My talk at the Workshop
on Discovery
and Experimentation in Number Theory
-
My talk at the 2009 CMS Winter
Meeting
-
My talk at the
AMS 2010 Joint Mathematics Meetings
- My talk at the
West End Number Theory Seminar
- My talk at CNTA XI
- My talk at
the Conférence
Québec-Maine
- My talk at the Number theory seminar at
Rochester
- My talk at the 2010 CMS Winter
Meeting
- My talk at the Colloque des mathématiques de Montréal CRM-ISM
- Présentation sur le cube de Rubik
pour le club
mathématique. Voici quelques notes. Si vous avez des corrections,
dites-le moi, je serai heureuse de corriger mon francais! (et les
mathématiques)
Seminar Talks at UT:
- Dilogarithm,
a cool function , Junior Number Theory Seminar.
- On
certain examples of Mahler Measures as Multiple Polylogarithms , the
candidacy talk that I gave at the Number Theory Seminar.
- Every
Positive Integer is the Sum of Four Squares! (and other exciting
problems) , about Lagrange's Theorem and Waring's problem at the
Sophex Seminar.
- A nice
condition for linearity, Sophex Seminar.
- The zeta
function strikes back!!!, a talk I gave about an example of a
five-variable polynomial whose Mahler measure is esentially zeta(5) at the
Junior Algebra / Number Theory Seminar.
- Mahler Measure and Hyperbolic Volumes, notes and slides
from my talk at the Junior Number Theory Seminar.
- An algebraic
integration for Mahler Measure, my talk at the Junior Number Theory
Seminar.
- On the
friendship between Mahler measure and polylogarithms, notes and slides of my
talk at the Number Theory Seminar. Don't miss the bonus
slide!!!
- There's something about Mahler measure, notes and
slides
from my talk at the Junior Number Theory Seminar.
- My defense.
- My last talk as a student at UT was about Bernoulli
Numbers at the Junior Number Theory Seminar.
Teaching, organizing, etc:
Other Stuff:
- Cool places to learn Math: Arxivs, MathSciNet, Mathworld
- My favorite number is 127
- My favorite comic strips: Ph.D,
the unfeasible adventures of
Beaver and Steve, and Order of the stick
- My favorite blog is
Female Science Professor
- I am very fond of Mathematical Olympiads
- If I
were a Springer-Verlag Graduate Text in Mathematics...
- Visit Matilde, the
Danish Mathematical Society's newsletter!!!
- I
got married on
July 23rd, 2004!!!
- 42
- Cute
Overload for cute pictures.
- Nerdy stuff: News for nerds, Thinkgeek (this is where I get my
cool T-shirts)
- Getting info: Google, Standard repository of human knowledge
and wisdom aka Wikipedia! (at least until I get some copies of the
Encyclopedia Galactica or the HHG2G).
- Massive (geeky
music). Here
is one for music with Physics lyrics. I think this song should be my
favorite. Pandora for more
conventional music.
- Movies: imdb, rotten tomatoes, and the movie spoiler
Last updated June 7, 2010 (or later).
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2005