# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
Transcendence Theory; Modular Curves; Shimura Curves; Covering Radius; Fuchsian Triangle Group; Period; Abelian Variety With Complex Multiplication; Modular Embedding

# educationAndTraining[].organization.label
University of Nottingham - (Nottingham, Nottingham, United Kingdom)

# publications[].label
Transcendence of values at algebraic points for certain higher-order hypergeometric functions

# publications[].label
Triangle fuchsian differential equations with apparent singularities

# publications[].label
Asymptotics of multinomial sums and identities between multi-integrals

# publications[].label
On the Modular Function and Its Importance for Arithmetic

# publications[].label
Modular embeddings for some non-arithmetic Fuchsian groups

# publications[].label
Book Review: Commensurabilities among lattices in P U ( 1 , n ) mathrm {PU}(1,n)

# publications[].label
Borel structurability on the 2-shift of a countable group

# publications[].label
Transcendence and CM on Borcea-Voisin towers of Calabi-Yau manifolds

# publications[].label
Periods and Special Functions in Transcendence

# publications[].label
Appendix A. Torsion-Free Subgroups of Finite Index by Hans-Christoph Im Hof

# publications[].label
Complex Ball Quotients and Line Arrangements in the Projective Plane

# publications[].label
Humbert Surfaces and Transcendence Properties of Automorphic Functions

# publications[].label
Zariski-density of exceptional sets for hypergeometric functions

# publications[].label
Ideal constructions and irrationality measures of roots of algebraic numbers

# publications[].label
TRANSCENDENCE OF SPECIAL VALUES OF POCHHAMMER FUNCTIONS

# publications[].label
An elementary approach to effective Diophantine approximation on Gm

# publications[].label
Hyperbolic equidistribution problems on Siegel 3-folds and Hilbert modular varieties

# publications[].label
Higher order Ito product formula and generators of evolutions and flows

# publications[].label
Heights of Torsion Points on Commutative Group Varieties

# publications[].label
Transcendence and CM on Borcea-Voisin towers of Calabi-Yau manifolds

# publications[].label
K3 surfaces with algebraic period ratios have complex multiplication

# publications[].label
Perspectives de l'Approximation Diophantienne et de la Transcendance

# publications[].label
Chapter Five. Line Arrangements in P2(C) and Their Finite Covers

# publications[].label
Chapter Three. Complex Surfaces and Coverings

# publications[].label
Chapter Four. Algebraic Surfaces and the Miyaoka-Yau Inequality

# publications[].label
A Six Generalized Squares Theorem, with Applications to Polynomial Identity Algebras

# publications[].label
Interactions between number theory and operator algebras in the study of the Riemann zeta function (daprs Bost-Connes and Connes)

# publications[].label
Fewnomials and Intersections of Lines with Real Analytic Subgroups in Gmn

# publications[].label
On the Non-commutative Torus of Real Dimension Two

# publications[].label
Generators of quantum stochastic flows and cyclic cohomology

# publications[].label
Asymptotics of Combinatorial Sums and the Central Limit Theorem

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
A Transcendence Criterion for CM on Some Families of CalabiYau Manifolds

# publications[].label
Weak containment rigidity for distal actions

# publications[].label
Chapter Seven. Appell Hypergeometric Functions

# publications[].label
Chapter Two. Riemann Surfaces, Coverings, and Hypergeometric Functions

# publications[].label
Fuchsian triangle groups and Grothendieck dessins. Variations on a theme of Belyi

# publications[].label
On the coefficients of the transformation polynomials for the elliptic modular function

# publications[].label
A $C^*$-dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking

# publications[].label
Heights of Torsion Points on Commutative Group Varieties II

# publications[].label
Fonctions hypergomtriques en plusieurs variables et espaces des modules de varits abliennes

# publications[].label
Transcendence of Zeros of Automorphic Forms For Cuspidal Triangle Groups

# publications[].label
Asymptotic estimates of some sn characters and the identities of the 2  2 matrices

# publications[].label
Transcendence of Zeros of Automorphic Forms For Cuspidal Triangle Groups

# publications[].label
Chapter Six. Existence of Ball Quotients Covering Line Arrangements

# publications[].label
The Gauss-Bonnet Theorem for the noncommutative two torus

# publications[].label
Approximations of standard equivalence relations and Bernoulli percolation at pu

# publications[].label
Chapter One. Topological Invariants and Differential Geometry

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU