Thesis defense:

Thesis title:

A Funtional Approach to Linkage and the Asymptotic Stabilization of the Tensor Product 

Advisor:

Alex Martsinkovsky

Thesis defense:

Thesis title:

Free resolutions of orbit closures for representations with finitely many orbits 

Advisor:

Jerzy Weyman

Thesis defense:

Thesis title:

Constructions of k-orbit Abstract Polytopes 

Advisor:

Egon Schulte

Thesis defense:

Thesis title:

Discrete structures in finite type Cluster Algebras

Advisor:

Andrei Zelevinsky

Thesis defense:

Thesis title:

Apolarity for the determinant and permanent

Advisor:

Anthony Iarrobino

Thesis defense:

May 2, 2012

Thesis title:

Automorphic Invariance of Abstract Polytopes

Advisor:

Egon Schulte

Thesis defense:

January 27, 2012

Thesis title:

Orbit closures of quiver representations

Advisor:

Jerzy Weyman

Thesis defense:

January 27, 2012

Thesis title:

Geometry of representation spaces for gentle string algebras

Advisor:

Jerzy Weyman

Thesis defense:

July 23, 2010; PhD., September 2010

Thesis title:

Transitivity of Graphs Associated with Highly Symmetric Polytopes

Advisor:

Egon Schulte

Thesis defense:

April 16, 2010; Ph.D., May 2010

Thesis title:

Unbounded solutions of the modified Kortweg-De Vries equation

Advisor:

Peter Topalov

Thesis defense:

April 16, 2010;

Thesis title:

Cluster algebras of finite type via semisimple groups and generalized minors

Advisor:

Andrei Zelevinsky

Thesis defense:

April 16, 2010;

Thesis title:

Quantum F-polynomials in the theory of cluster algebras

Advisor:

Andrei Zelevinsky

Thesis defense:

April 15, 2010; Ph.D., May 2010

Thesis title:

Standard bases for coordinate rings of cotangent varieties

Advisor:

Jerzy Weyman

Thesis defense:

April 1, 2010; Ph.D., May 2010

Thesis title:

Tensor structure on smooth motives

Advisor:

Marc Levine

Thesis defense:

June 29, 2009; Ph.D., August 2009

Thesis title:

Semi-invariants of tubular algebras

Advisor:

Jerzy Weyman

Thesis defense:

June 18, 2009; Ph.D., August 2009

Thesis title:

Exhaustive weakly wandering sequences for alpha type transformations

Advisor:

Stanley Eigen

Thesis defense:

April 15, 2009; Ph.D., May 2009

Thesis title:

Various parameters of subgraphs and supergraphs of the hypercube

Advisor:

Mark Ramras

Thesis defense:

April 15, 2009; Ph.D., May 2009

Thesis title:

Regular polyhedra of index 2

Advisor:

Egon Schulte

Thesis defense:

April 14, 2009; Ph.D., May 2009

Thesis title:

Some geometric properties of certain toric varieties and Schubert varieties

Advisor:

Venkatraman Lakshmibai

Thesis defense:

March 27, 2009; Ph.D, May 2009

Thesis title:

Semiclassical asymptotics on manifolds with boundary

Advisor:

Mikhail Shubin

Thesis defense:

April 24, 2008; Ph.D., August 2008

Thesis title:

Singularities of certain class of toric varieties

Advisor:

Venkatraman Lakshmibai

Thesis defense:

April 16, 2008; Ph.D., May 2008

Thesis title:

Multiplicative properties of the slice filtration

Advisor:

Marc Levine

Thesis defense:

March 28, 2008; Ph.D. May 2008

Thesis title:

Validation of a Probabilistic Model of Language Acquisition in Children

Advisor:

Samuel Gutmann

Thesis defense:

November 13, 2007; January 2008

Thesis title:

Alexander and Thurston norms of links and 3-manifolds

Advisor:

Alexander Suciu

Thesis defense:

March 29, 2007; Ph.D., May 2007

Thesis title:

Adams operations and lambda operations on classifying oriented cohomology theories

Advisor:

Marc Levine

Thesis defense:

March 28, 2007; Ph.D., May 2007

Thesis title:

Isomorphism beteen algebraic cobordism and K-theory over singular schemes

Advisor:

Marc Levine

Thesis defense:

March 7, 2007; Ph.D., May 2007

Thesis title:

Refined analytic torsion: comparison theorems, product formula and examples

Advisor:

Maxim Braverma

Thesis defense:

August 11, 2005; Ph.D., September 2005

Thesis title:

Relative conditional complexity of compression for authorship attribution of texts

Advisor:

Mikhail Malioutov

Thesis defense:

June 10, 2005; Ph.D., September 2005

Thesis title:

L² Fredholm property of  Neumann problem on strongly pseudoconvex G-manifolds

Advisor:

Mikhail Shubin

Thesis defense:

May 26, 2005; Ph.D., September 2005

Thesis title:

Local discrimination and quantum channel capacities

Advisor:

Christopher King

Thesis defense:

July 22, 2004; Ph.D., September 2004

Thesis title:

Combinatorial aspects of double Bruhat cells and cluster algebras

Advisor:

Andrei Zelevinsky

Thesis defense:

April 7, 2004; Ph.D., June 2004

Thesis title:

Differential invariants of geometric structures

Advisor:

Mikhail Shubin

Thesis defense:

April 6, 2004; Ph.D., June 2004

Thesis title:

Kirchhoff and Riabouchinsky model with semipermeable obstacles

Advisor:

Maxim Braverman

Thesis defense:

August 19, 2003; Ph.D., September 2003

Thesis title:

Grassmannians and cluster algebras

Advisor:

Andrei Zelevinsky

Thesis defense:

August 7, 2003; Ph.D., September 2003

Thesis title:

Monomial bases and applications for Richardson and Schubert varieties in ordinary and affine Grassmannians

Advisor:

V. Lakshmibai

Thesis defense:

August 1, 2003; Ph.D., September 2003

Thesis title:

The geometry of G₂-manifolds

Advisors:

Chuu-Lian Terng and Shing-Tung Yau (Harvard)

Thesis defense:

August 1, 2003; Ph.D., September 2003

Thesis title:

Submanifold geometries and integrable systems

Advisor:

Chuu-Lian Terng

Thesis defense:

May 1, 2003; Ph.D., June 2003

Thesis title:

Periodic solutions of a delay equation with three delays

Advisor:

Solomon Jekel

Thesis defense:

April 29, 2003; Ph.D., June 2003

Thesis title:

Orbits of orthogonal and symplectic representations of symmetric quivers

Advisor:

Jerzy Weyman

Thesis defense:

June 27, 2002; Ph.D., September 2002

Thesis title:

On computing various pararmeters for hypercubes

Advisor:

Mark Ramras

Thesis defense:

May 28, 2002; Ph.D., September 2002

Thesis title:

On the essential self-adjointness of Schrödinger-type operators on Riemannian manifolds

Advisor:

Mikhail Shubin

Thesis defense:

Ph.D., June 2002

Thesis title:

Statistical estimation and simulation studies

Advisor:

Mikhail Malioutov

Thesis defense:

Ph.D., June 2002

Thesis title:

A multi-commodity, multi-period, multi-criteria network flow model for disposal siting and routing of nuclear waste

Advisor:

Mark Ramras

Thesis defense:

August 16, 2001; Ph.D., September 2001

Thesis title:

Modeling of individual protein molecule dynamics

Advisor:

Mikhail Malioutov

Thesis defense:

May 21, 2001; Ph.D., June 2001

Thesis title:

Explicit solutions of the additive Deligne-Simpson problem and their applications

Advisor:

Andrei Zelevinsky

Thesis defense:

March 13, 2001; Ph.D., June 2001

Thesis title:

The noncommutative tame de Rham theorem

Advisor:

Bohumil Cenkl

Thesis defense:

Ph.D., June 2001

Thesis title:

The topological completion of a bilinear form

Advisor:

Solomon Jekel

Thesis defense:

Ph.D., September 2000

Thesis title:

Estimation of diffusion and trend in noise via mercer expansion in connection to the parameter estimation of the band 3 molecule motion over the membrane of red blood cells

Advisor:

Mikhail Malioutov

Thesis defense:

Ph.D., September 2000

Thesis title:

Equisingularity of map germs from n-space to the plane

Advisor:

Terence Gaffney

Thesis defense:

Ph.D., June 2000

Thesis title:

Combinatorial and information-theoretic aspects of search models

Advisor:

Mikhail Malioutov

Thesis defense:

December 7, 1999; Ph.D., June 2000

Thesis title:

Segre numbers, mixed Segre numbers, and the theory of the integral closure of ideals

Advisor:

Terence Gaffney

Thesis defense:

August 12, 1999; Ph.D., September 1999

Thesis title:

Fundamental groups of links and arrangements: characteristic varieties, resonance varieties, and finite index subgroups

Advisor:

Alexandru Suciu

Thesis defense:

Ph.D., September 1999

Thesis title:

Recognition of finite black box groups

Advisors:

Egon Schulte, Gene Cooperman, and Larry Finkelstein

Thesis defense:

Ph.D., September 1998

Thesis title:

On the essential self-adjointness of Schrödinger-type operators on complete Riemannian manifolds

Advisor:

Mikhail Shubin

Thesis defense:  

August 21, 1997; Ph.D., September 1997

Thesis title:

Schubert varieties, ladder determinantal varieties and toric varieties

Advisor:

V. Lakshmibai

Thesis defense:

July 8, 1997; Ph.D.; September 1997

Thesis title:

On uniquely intersectable graphs

Advisor:

N. V. R. Mahadev

Thesis defense:

Ph.D., September 1997

Thesis title:

Long cycles and Hamiltonian cycles in subgraphs of hypercubes

Advisor:

Mark Ramras

Thesis defense:

Ph.D., September 1997

Thesis title:

On the toughness of cross products of paths and cycles

Advisor:

Mark Ramras

Thesis defense:

May 22, 1997; Ph.D., June 1997

Thesis title:

Lê cycles on analytic spaces

Advisor:

David Massey

Thesis defense:  

March 31, 1997; Ph.D., June 1997

Thesis title:

Maximization of empirical Shannon information in testing significant variables of linear model

Advisor:

Mikhail Malioutov

Thesis defense:

December 10, 1996; Ph.D., June 1997

Thesis title:

On isometric immersions of space forms in space forms

Advisor:

Chuu-Lian Terng

Thesis defense:

Ph.D., June 1997

Thesis title:

Nilpotent orbits and theta-stable parabolic subalgebras

Advisor:

Donald King

Thesis defense:

Ph.D., June 1997

Thesis title:

A statistical characterization of the concentration fluctuations due to turbulence in a circular jet

Advisor:

Samuel Gutmann

Thesis defense:

Ph.D., June 1997

Thesis title:

Adjacency codes of graphs: weights, dimensions, representations

Advisor:

Mark Ramras

Thesis defense:

Ph.D., June 1997

Thesis title:

On using struction in computing the stability number

Advisor:

N. V. R. Mahadev

Thesis defense:

Ph.D., September 1996

Thesis title:

The kite method for accelerating vortex method solutions of Euler's and Navier-Stokes' equations

Advisor:

Robert McOwen

Thesis defense:

May 22, 1996; Ph.D., June 1996

Thesis title:

Bounds on P-values for classes of stopping rules

Advisor:

Samuel Gutmann

Thesis defense:

May 21, 1996; Ph.D., June 1996

Thesis title:

Schubert varieties in Sp(2n)/B

Advisor:

V. Lakshmibai

Thesis defense:

May 7, 1996; Ph.D., June 1996

Thesis title:

Algebraic and combinatorial structure of quantum groups and their canonical bases

Advisor:

Andrei Zelevinsky

Thesis defense:

Ph.D., September 1995

Thesis title:

Positive solutions to nonlinear elliptic equations with prescribed singularities

Advisor:

Robert McOwen

Thesis defense:

Ph.D., September 1995

Thesis title:

Special one-dependent processes

Advisor:

Stanley Eigen

Thesis defense:

Ph.D., June 1995

Thesis title:

Bifunctor theory and representation theory of algebras

Advisor:

Gordana Todorov

Thesis defense:

Ph.D., September 1994

Thesis title:

Some necessary and sufficient conditions for sequence of integers to be a score sequence of a Steinhaus tournament

Advisor:

Midge Cozzens

Thesis defense:

Ph.D., June 1994

Thesis title:

Maximal module of hereditary Artin algebras of finite representation type

Advisor:

Gordana Todorov

Thesis defense:

Ph.D., September 1993

Thesis title:

A fast exact euclidean distance transform with application to computer vision and digital image processing

Advisor:

John Gauch

Thesis defense:

Ph.D., September 1993

Thesis title:

Chiral honeycombs

Advisor:

Egon Schulte

Thesis defense:

Ph.D., September 1993

Thesis title:

The tenacity of trees

Advisor:

Sam Stueckle

Thesis defense:

Ph.D., June 1993

Thesis title:

Automorphisms of circulant and MCP graphs

Advisor:

Sam Stueckle

Thesis defense:

Ph.D., June 1993

Thesis title:

Nonsmooth conflicting control problems defined by ordinary differential equations

Advisor:

Jack Warga

Thesis defense:

Ph.D., September 1992

Thesis title:

Problems with delayed and unbounded controls

Advisor:

Jack Warga

Thesis defense:

Ph.D., September 1992

Thesis title:

Tenacity and its properties in stability calculation

Advisor:

Midge Cozzens

Thesis defense:

Ph.D., September 1992

Thesis title:

A back-bayesian approach to the classical confidence interval

Advisor:

Samuel Gutmann

Thesis defense:

Ph.D., September 1992

Thesis title:

Some irreducibility and dimension theorems for families of height three Gorenstein algebras

Advisor:

Anthony Iarrobino

Thesis defense:

Ph.D., June 1992

Thesis title:

Cohomology and intersection cohomology of complex hyperplane arrangements

Advisor:

Mark Goresky

Thesis defense:

Ph.D., June 1992

Thesis title:

Prescribing curvature on manifolds with singularities

Advisor:

Robert McOwen

Thesis defense:

Ph.D., September 1991

Thesis title:

T-Colorings of complete graphs

Advisor:

Midge Cozzens

Thesis defense:

Ph.D., June 1991

Thesis title:

The spectral degeneration for hyperbolic Riemann surfaces

Advisors:

Mark Goresky and Shing-Tung Yau (Harvard)

Thesis defense:

Ph.D., June 1991

Thesis title:

Multiple recurrence, alpha type and sequences of integers for transformations with infinite invariant measure

Advisor:

Stanley Eigen

Thesis defense:

Ph.D., June 1991

Thesis title:

Validity of the bootstrap in the two sample problem with right censoring

Advisor:

Lo