Home Page of Davide Alessandro Reduzzi

Campus Address
University of California, Los Angeles
Department of Mathematics
Math Sciences Building 6363
520 Portola Plaza
Los Angeles, CA 90095 U.S.A.

Office
MS 6617A

E-mail
devredu83 *at* math *dot* ucla *dot* edu

Fax
(310) 206 6673

Mailing Address
University of California, Los Angeles
Department of Mathematics
Box 951555
Los Angeles, CA 90095-1555 U.S.A.

I am a Ph.D. student in UCLA interested in algebraic number theory, and especially in arithmetic geometry, modular forms and Galois representations; my advisor is Prof. Chandrashekhar Khare. I graduated in 2007 from the Università degli Studi di Milano (Italy).

Research Papers

-       On the Number of Irreducible Components of Local Deformation Rings in the Unequal Characteristic Case, in preparation, preliminary version pdf

-       Cohomological Weight Shiftings for Automorphic Forms on Definite Quaternion Algebras, Preprint (2011), pdf

-       An Explicit Presentation of the Grothendieck Ring of Finitely Generated F_q[SL₂(F_q)]–Modules, Preprint (2011), pdf

-       Hecke Eigensystems for (mod p) Modular Forms of PEL Type and Algebraic Modular Forms, to appear in IMRN, pdf   

-       Reduction (mod p) of Cuspidal Representations of GL₂(F_q) and Symmetric Powers, J. Algebra 324 (2010), pp. 3507-3531, pdf

Teaching

I am not teaching during this quarter.

Mathematical Links

p-adic Modular Forms and Arithmetic (Conference)
www.math.ucla.edu/~galois07

UCLA Mathematics Department
www.math.ucla.edu

Number Theory at UCLA
www.math.ucla.edu/~ntg

University of Milano
www.mat.unimi.it

Numdam
www.numdam.org

ArXiv.Org
arxiv.org/archive/math

MathSciNet
www.ams.org/mathscinet

Math Geneaology Project
genealogy.math.ndsu.nodak.edu

Other Links

U.S. National Park Service
www.nps.gov/index.htm

L.A. Light (Video)
vimeo.com/27235856

Your Sky
www.fourmilab.ch/yoursky

Digital Library of Ancient Roman Literature
www.thelatinlibrary.com

G. Pascoli, “Myricae”
www.classicitaliani.it/pascoli/pascoli_miricae.htm

J. du Bellay, « Les Antiquités de Rome »
damienbe.chez.com/antiquites.htm

The Clarinet Institute of Los Angeles
www.clarinetinstitute.com

Pictures from Recent Trips

Piazza Vecchia and Venetian Walls, Città Alta, Bergamo, Italy

Duomo, Milano, Italy

Pyramide du Louvre, Paris, France

Night/day views of L.A. from the Griffith Park, Los Angeles, California, USA

Griffith Observaroty, Mount Hollywood, California, USA

Hollywoodland, California, USA

Sequoia National Park, California, USA

Joshua Tree Desert, California, USA

Anza Borrego Desert, California, USA

Death Valley, California, USA

Na Pali Coast State Park, Kauai, Hawai’i, USA

Downtown, Chicago, Illinois, USA

Las Vegas, Nevada, USA

Manhattan – East Village, New York, USA

Princeton, New Jersey, USA

Philadelphia, Pennsylvania, USA

Ann Arbor, Michigan, USA

Zion National Park, Utah, USA

Grand Canyon, North Rim, Arizona, USA

Yosemite National Park, California, USA

Mono Lake, California, USA

Sedona, Arizona, USA

Bryce Canyon, Utah, USA

Allan Lambert Galleria, Toronto, Ontario, Canada

Quotes

When we try to pick out anything by itself, we find it hitched to everything else in the Universe. (John Muir, My First Summer in the Sierra)

A lion chased me up a tree, and I greatly enjoyed the view from the top. (Confucius)

The magician seemed to promise that something torn to bits might be mended without a seam, that what had vanished might reappear, that a scattered handful of doves or dust might be reunited by a word, that a paper rose consumed by fire could be made to bloom from a pile of ash. But everyone knew that it was only an illusion. The true magic of this broken world lay in the ability of things it contained to vanish, to become so thoroughly lost, that they might never have existed in the first place. (Michael Chabon, The Amazing Adventures of Kavalier & Clay)

Forsan et haec olim meminisse iuvabit. (Vergilius, Aeneis I, 203)