Valerio Toledano Laredo
Associate Professor
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Office
Number:
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528 NI
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Phone Number:
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617-373-5526
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Fax Number:
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617-373-5658
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E-Mail
Address:
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V.ToledanoLaredo
[At] neu.edu
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Mailing
Address:
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Northeastern
University
360 Huntington Ave.
Department of Mathematics
567 Lake Hall
Boston, MA 02115
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Research
Phd, University of Cambridge, 1997
Habilitation à diriger les
recherches, Université Pierre et
Marie Curie (Paris), 2005
Areas of interest: Representation
Theory, Conformal Field Theory.
Recent video lectures
[7] Yangians,
quantum
loop algebras and trigonometric
connections
Banff International Research Station,
August 2011.
[6] Yangians
and
quantum loop algebras
Simons Center for Geometry and
Physics, Stony Brook, March 2011.
[5] Yangians,
quantum
affine algebras and trigonometric
connections
Kavli Institute for
Theoretical Physics, UC Santa Barbara,
August 2010.
[4]
Stability
conditions
and Stokes factors
Worldwide Center of Mathematics,
Cambridge, October 2009.
[3] Stokes
factors and stability conditions
Newton Institute, University of
Cambridge, June 2009.
[2] Stability
conditions
and Stokes factors for physicists
Kavli Institute for Theoretical Physics,
UC Santa Barbara, March 2009.
[1] Hall
algebras
GRASP lecture, UTexas at Austin, March
2009.
Publications
[15] Monodromy
of
the trigonometric Casimir connection
for sl_2
(with S. Gautam), 44 pages,
arXiv:1109.2367
[14] Yangians
and quantum loop algebras
(with S. Gautam), 52 pages,
arXiv:1012.3687,
submitted.
[13] Stokes
factors and multilogarithms
(with T.
Bridgeland), to appear in Crelle's
Journal, 41 pages.
[12] Stability
conditions
and Stokes factors
(with T.
Bridgeland), Inventiones
Mathematicae
187
(2012), 61-98
[11] The
trigonometric connection of a simple
Lie algebra
Journal
of Algebra 329 (2011), 286–327
[10]
The
Dynkin diagram cohomology of finite
Coxeter groups
(with R. Rouquier), Journal
of Algebra 323 (2010), 59-82.
[9]
Gaudin
Models
with Irregular Singularities
(with
B. Feigin and E. Frenkel), Advances in
Mathematics
223
(2010), 873-948
[8] Quasi-Coxeter
Algebras,
Dynkin Diagram Cohomology and Quantum
Weyl Groups
International Mathematics Research
Papers 2008,
167 pages.
[7] Cohomological
Construction
of Relative Twists
Advances in Mathematics 210
(2007), 375-403.
[6] Casimir
Operators
and
Monodromy Representations of
Generalised Braid Groups
(with John J. Millson), Tranformation
Groups 10
(2005), 217-254.
[5] Flat
Connections
and
Quantum Groups
Acta Applicandae Mathematicae 73
(2002), 155-173.
[4] A
Kohno-Drinfeld Theorem for Quantum
Weyl Groups
Duke Mathematical Journal 112
(2002), 421-451.
[3] Integrating
Unitary
Representations of
Infinite-Dimensional Lie Groups
Journal of Functional Analysis 161
(1999), 478-508.
[2] Positive
Energy
Representations of the Loop Groups of
non Simply Connected Lie Groups
Communications in Mathematical Physics 207
(1999), 307-339.
[1] Chordless
paths,
odd holes, and kernels in graphs
without m-obstructions
(with F. Gavril and D. de Werra),
Journal of Algorithms 17 (1994),
207-221.
Ph.D. Thesis
Fusion
of
Positive Energy Representations of LSpin(2n)
University of Cambridge, December 1997,
157 pages.
Graduate
Students
Current
students
Andrea
Appel
Yaping
Yang
Former
students
Sachin
Gautam (Ph.D. 2011, now at Columbia
U.)
Teaching
Fall 2006
MTH U242 - Calculus 2 for Science and
Engineering: syllabus
Spring 2007
MTH U242 - Calculus 2 for Science and
Engineering: course
policy, syllabus
Fall
2007
Reading course on
invariant theory for semisimple Lie
algebras: syllabus
Spring
2008
Reading course on Poisson Lie
groups: syllabus
Summer
I 2008
MTHU 343 - Differential
Equations and Linear Algebra for
Engineering: syllabus
MTHU 371 - Linear Algebra with
Applications: syllabus
Reading course on Perverse Sheaves
Fall
2008
MTH U241 - Calculus 1 for Science and
Engineering: course
policy, syllabus
Spring
2009
MTH G362 - Graduate course on
Quivers, Hall Algebras and Quantum
Groups: syllabus
MTH G734 - Reading course on Stability
Conditions: syllabus
Fall
2009
MTH G734 - Reading course on
differential equations: syllabus
Spring
2010
MATH 2331 - Linear algebra:
syllabus, Linear
Equations
and Matrices by N. Krikorian
MTH G362 - Graduate course on
Differential equations and quantum
groups:
syllabus,
end
of
course miniconference
Fall
2010
MTH G7734 - Reading course on
geometric representation theory: syllabus
Spring
2011
MATH 2331 - Linear algebra:
syllabus
MATH 7362 - Graduate course on
quantum groups and solvable lattice
models: syllabus
Fall 2011
MATH 7364 - Learning seminar
on D-modules.
Spring 2011
MATH 2331 -
Linear algebra
MATH 7364 - Learning
seminar on D-modules, II.
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