An Introduction to Moduli Spaces of Riemann Surfaces Owen Gwillian Motivation Let’s write Sg for the genus-g closed oriented surface. If we cut out n open disks, we get a compact surface with boundary that we will deno

Source URL: math.berkeley.edu

• Geometric topology
• Riemann surfaces
• Differential topology
• Differential geometry
• Hyperbolic geometry
• Complex manifold
• Mapping class group
• Manifold
• Diffeomorphism
• Geometry
• Topology
• Space

Response I am truly grateful and honored to receive this prize, and I am equally delighted to receive it for this particular topic, which is very close to my heart. All my professional career so far has been spent

Source URL: www.ams.org

• Geometry
• Ingrid Daubechies
• Fields Medalists
• Maryam Mirzakhani
• Curtis T. McMullen
• Sun-Yung Alice Chang
• Teichmüller space
• Moduli space
• Joan Birman
• Mathematics
• Moduli theory
• Academia

arXiv:1302.3320v3 [math.DS] 16 Feb[removed]INVARIANT AND STATIONARY MEASURES FOR THE SL(2, R) ACTION ON MODULI SPACE ALEX ESKIN AND MARYAM MIRZAKHANI Abstract. We prove some ergodic-theoretic rigidity properties of the act

Source URL: arxiv.org

• Support
• Lebesgue measure
• Measure
• Topological groups
• Itō diffusion
• Strictly positive measure
• Mathematical analysis
• Measure theory
• Invariant measure

CODICE PRATICO DELLA MEDIAZIONE IN ITALIA E ALL’ESTERO Pagina 1 di 2 Novità aprile 2011 Con i Moduli

Source URL: www.concilia.it

talk_nus_moduli_DAMASC_2014.dvi

Source URL: www.kiss.caltech.edu

• Dark matter
• Leptons
• Standard Model
• Sterile neutrino
• Seesaw mechanism
• Double beta decay
• NOνA
• Physics beyond the Standard Model
• Physics
• Particle physics
• Neutrinos

Biographical Sketches space. His “approximation theorem” and his “existence theorem” are the starting points of the modern study of moduli problems. Artin’s contributions to the theory of surface singularities

Source URL: www.ams.org

• MacArthur Fellows
• Ingrid Daubechies
• Fields Medalists
• Norwegian Academy of Science and Letters
• Michael Artin
• Leroy P. Steele Prize
• David Mumford
• Wavelet
• George Mostow
• Mathematics
• Academia
• Science

Profile Interview with Research Fellow Maryam Mirzakhani Could you talk about your mathematical education? What experiences and people were especially

Source URL: www2.maths.ox.ac.uk

• Maryam Mirzakhani
• Ergodic theory
• Moduli space
• Mathematics

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 12, Number 1, January 1999, Pages 173–240 S[removed][removed]PERIODS OF AUTOMORPHIC FORMS

Source URL: www.math.columbia.edu

• Spectral theory
• Operator theory
• Analytic number theory
• Modular form
• Moduli theory
• Spectrum
• Algebraic number field
• Spectral theory of ordinary differential equations
• Plancherel theorem for spherical functions
• Abstract algebra
• Mathematical analysis
• Algebra

Analytic Number Theory Homework #4 (due Thursday, May 8, 2014) Problem 1: Let χ be a Dirichlet character (mod q) for some integer q > 1. Prove that L(1, χ)  log q. Problem 2: Fix a prime p. Show that

Source URL: www.math.columbia.edu

• Number theory
• Analytic number theory
• Modular forms
• Moduli theory
• Dirichlet character
• Coprime
• Root of unity
• Modular curve
• Mathematics
• Abstract algebra
• Mathematical analysis

Moments for L-functions for GLr  GLr−1 A. Diaconu, P. Garrett, D. Goldfeld[removed].

Source URL: www.math.columbia.edu

• Analytic number theory
• Special functions
• Moduli theory
• Algebraic number field
• Algebraic number theory
• Field theory
• Modular form
• Residue
• Abstract algebra
• Mathematical analysis
• Mathematics