Analysis
Seminar (201012, 200710)
Spring 2024 Fridays 23, Korman 245
May 7,
3PM 
Georgi
Medvedev (Drexel) 
The Large Deviation Principle for Dynamical Systems
on Random Graphs 
May
31, 3PM 
Thomas
Yu (Drexel) 
Semidefinite
programming and data sciences, convexification and deconvexification 
Apr 12 
James
Pascoe (Drexel) 
Positive linear functionals and the GNS construction (continued) 
Apr 5 
Hugo Woerdeman (Drexel) 
Partial isospectrality
of a matrix pencil and circularity of the cnumerical range 
Winter 2024 Fridays 121, Korman 245
Reading
seminar: A Course in
Operator Theory, by John Conway
Mar 15 
James
Pascoe (Drexel) 
Positive
linear functionals and the GNS construction 
Mar 8 
Jurij Volčič (Drexel) 
Representations
of C*algebras 
Mar 1 
Abdellah
Islam (Drexel) 
Ideals
in a C*algebra 
Feb 23 
Sarah
Gift (Drexel) 
Approximate
identities 
Feb 16 
Ramesh
Garimella (Drexel) 
Positive
elements in a C*algebra (continued) 
Feb 9 
Ramesh
Garimella (Drexel) 
Positive
elements in a C*algebra 
Feb 2 
Matt
Ziemke (Drexel) 
Abelian
C*algebras and the Functional Calculus 
Jan 26 
Anatolii
Grinshpan (Drexel) 
Introduction
to C*algebras: preliminaries 
Jan 19 
Snow 

Fall 2023 Fridays 121, Korman 245
Nov 17 
Georgi
Medvedev (Drexel) 
Galerkin
approximation of a nonlocal diffusion equation on Euclidean and fractal
domains 
Nov 10 
Anatolii
Grinshpan (Drexel) 

Nov 3 
Jurij Volčič (Drexel) 
A perturbative Positivstellensatz
for nonnegative polynomials 
Oct 27 
James
Pascoe (Drexel) 
Matrix convex verbatim enumeration functions
are graphical (continued) 
Oct 20 
James
Pascoe (Drexel) 

Oct 13 
Eilidh
McKemmie (Rutgers) 

Oct 6 
Jurij Volčič (Drexel) 
Selftesting: from quantum information theory
to multivariate operator theory 
Sept
29 
Prateek
Vishwakarma (U of Regina, Canada) 
Inequalities for totally nonnegative
matrices: GantmacherKrein, Karlin, and Laplace 
Spring 2023 Fridays 121, Korman 245
June 2 
Austin Jacobs (U of Florida) 
The geometry of inconvenience and perverse
equilibria in trade networks 
May 26 
Sarah Gift (Drexel) 
Real Factorization of Positive Semidefinite
Matrix Polynomials 
May 19 
Jurij Volčič (Drexel) 

May 12 
Yaqi Zhang (Drexel) 
Spark of a graph and minimum number of
distinct eigenvalues of tree 
May 5 
Jeffrey Zhang (Carnegie Mellon) 

Apr 28 
Thomas Yu (Drexel) 
The Exact LineSearch Gradient Descent
Method and Polynomial Optimization Problems 
Winter 2023 Fridays 121, Korman 245
Reading seminar: Geometry of Linear Matrix Inequalities, by T.
Netzer and D. Plaumann
Hugo Woerdeman 
LasserreParrilo relaxation 

Mar 3 
Hugo Woerdeman 
Spectrahedral shadows 
Feb 24 
Anatolii Grinshpan 
Free spectrahedra 
Feb 17 
Anatolii Grinshpan 
Derivative cones 
Feb 10 
Jurij Volcic 
Hyperbolic polynomials from graphs 
Feb 3 
James Pascoe 
Hyperbolic curves and the HeltonVinnikov theorem 
Jan 27 
Sarah Gift 
Hyperbolic polynomials, definite representations, and interlacing 
Jan 20 
Matthew Ziemke 
Properties of spectrahedra 
Jan 13 
Abdellah Islam 
Spectrahedra 
Fall 2022 Fridays 23, Korman 245
Dec 2 
Jakob Moosbauer
(JKU, Austria) 
Flip
Graphs for Matrix Multiplication (over zoom) 
Nov 18 
Anatolii
Grinshpan (Drexel) 

Nov 11 
Omesh
Dwivedi (Drexel) 

Nov 4 
Yaqi Zhang (Drexel) 

Oct 28 
Ramesh
Garimella (U Central Arkansas) 
On
the Spectrum of the Absolute Norm Attaining Positive Operators 
Oct 21 
Hugo Woerdeman (Drexel) 
On
the GauWangWu conjecture (start time 2:05
PM) 
Oct 14 
James
Pascoe (Drexel) 

Oct 7 
Hein
van der Holst (Georgia State) 

Sept
30 
Jurij Volcic (Drexel) 
Free Bertini’s theorem and isospectral
noncommutative polynomials 
2021  2022 Fridays 23, Korman 245
Hugo Woerdeman
(Drexel) 
Three proofs of the BenedettoFickus
theorem
(after Mixon, et al) 

May 13 
Hugo Woerdeman
(Drexel) 
Isospectrality and matrices with concentric
circular higher rank numerical ranges 
Apr 29 
Yaqi Zhang (Drexel) 
Upper bounds for positive semidefinite zero forcing
propagation time 
Apr 22 
Alejandra
Maestripieri (Universidad de Buenos Aires) 

Apr 1 
Hugo Woerdeman (Drexel) 
Factorization
of singular matrix polynomials and matrices with circular higher rank
numerical ranges. 
2019
 2020 Fridays
Thursdays 23, Korman 245
Mar 6 
Kennett Dela Rosa (Drexel) 

Feb 21 
Hugo Woerdeman (Drexel) 
Error Bounds and Singularity Degree in Semidefinite Programming. 
Dec 5 
Thomas Yu (Drexel) 
The gradient descent method is cursed by illconditioning only in dimension 3 and higher. 
Nov 21 
Ross Griebenow (Vertex Labs) 
Continued fractions and the irrationality measure of π. 
Nov 14 
Edward Poon (EmbryRiddle) 

Oct 31 
Joshua Jackson (Drexel) 
Determinantal representation of bivariate polynomials. 
Oct 24 
Anatolii Grinshpan (Drexel) 
A semilinear system with positivity conditions 
2018
 2019 Mondays 23, Korman 245
June 3

Hugo Woerdeman (Drexel) 

May 20 
Matthew Ziemke (Drexel) 
An Elementary Construction of the GKSL Master Equation for Nlevel Open Quantum Systems.

May 13

Joshua Jackson (Drexel) 

May 6

Thomas Yu (Drexel) 

April 29

Kennett Dela Rosa (Drexel) 
Location of Ritz values in the numerical range of normal matrices. 
April 8

Stephen Melczer (Penn) 

April 1

Anatolii Grinshpan (Drexel)

About Flint Hills (after M. Alekseyev). 
2017
 2018 Fridays 12, Academic 302
Jun 13 
Thomas Yu (Drexel) 
More tractable alternatives to sum of squares and semidefinite optimization (after Ahmadi & Majumdar). (Wed 34) 
Jun 8

Joshua Jackson (Drexel) 
Realizations and polynomials in two variables. 
Jun 1

Kennett Dela Rosa (Drexel)


May 30 
Harm Bart (Erasmus U) 
Vanishing vectorvalued logarithmic residues and unusual Cantor sets. (Colloquium: Wed 34) 



May 25 
Benjamin Grossman (Drexel) 
The cyclic rank completion problem with regular blocks.

Apr 2 
Nahum Zobin (William and Mary) 

Apr 13 
Anatolii Grinshpan (Drexel) 
A problem of Steinitz. 
Mar 9 
Matthew Ziemke (Drexel) 
Semigroups on B(H) having an invariant faithful normal state.

Feb 23 
Hugo Woerdeman (Drexel) 
Maximum determinant positive definite Toeplitz completions.




Dec 8

Tamara Kolda (Sandia National Labs) 
Tensor decomposition: a mathematical tool for data analysis and compression. 
Nov 3 
Benjamin Grossman (Drexel) 




Oct 20 
Joshua Jackson (Drexel) 
On factorization, indices and completely decomposable matrix polynomials (after Gohberg, Lerer, and Rodman). 
Oct 6 
Thomas Yu (Drexel) 
A uniqueness proof of Willmore minimizer with prescribed isoperimetric ratio: the magic of holomorphic function, holonomic function, and the agony of positive recurrence. 
2016  2017 Fridays 121, Korman 245
May 19 
Georgi Medvedev (Drexel) 
The Mean Field Limit of the Kuramoto Model on Random Graphs. 

May 12 
Jianxin Chen (U Maryland) 
Quantum algorithm for multivariate polynomial interpolation. 

May 5 
Tim Faver (Drexel) 

Apr 28 
Ben Grossman (Drexel) 

Apr 21 
Hugo Woerdeman (Drexel) 

Apr 14 
Soumyashant Nayak (U Penn) 
Determinant Theory in Finite Factors and Extensions of Hadamard's Inequality 

Feb 10 
Matthew Ziemke (Drexel) 

Feb 3 
Leonard Stevenson (Drexel) 

Jan 27 
Anatolii Grinshpan (Drexel) 
Spencer’s ``six standard deviations” theorem. 

Dec 2

Joe Erickson (Drexel) 
Zeros of Linear Combinations of Partial Sums of the Exponential Function II.


Nov 18 
Anatolii Grinshpan (Drexel) 
Volumes of projections of parallelotopes.


Nov 11 
Lechao Xiao (U Penn) 






Oct 28 
Joe Erickson (Drexel)

Zeros of Linear Combinations of Partial Sums of the Exponential Function I.


Oct 21

Leonard Stevenson (Drexel) 
Antiderivatives of FirstOrder NC Functions, Part II


Oct 14 
Leonard Stevenson (Drexel) 
Antiderivatives of FirstOrder NC Functions, Part I


Sept 30 
Patrick Waters (Temple) 
Universality of the Stochastic Bessel Operator.


2015  2016 Fridays 23, Korman 245
May 20 
Timothy Faver (Drexel) 

May 13 
Jonah Blasiak (Drexel) 

Apr 15 
Anatolii Grinshpan (Drexel) 
On sphere packing in Rn. 
Apr 8 
Hugo Woerdeman (Drexel) 
On mapping theorems for numerical range (after Klaja et al). 
Mar 4 
Thomas Yu (Drexel) 

Feb 19 
Anatolii Grinshpan (Drexel) 
Hilbert’s third problem. 
Feb 12 
Robert Boyer (Drexel) 

Feb 5 
Charles Burnette (Drexel) 
Abelian Squares and Their Progenies (continued). 
Jan 29 
Charles Burnette (Drexel) 
Abelian Squares and Their Progenies (continued). 
Jan 22 
Chung Wong (Drexel) 
Abelian Squares and Their Progenies. 
Jan 15 
Anatolii Grinshpan (Drexel) 
Khinchin’s inequality. 
Jan 8 
David Kimsey (U Newcastle) 

Dec 4 
Hugo Woerdeman (Drexel) 
Proof of Anderson’s paving conjecture (continued). 
Nov 20 
Ben Grossman (Drexel) 
On the quantum chromatic number of a graph (after Cameron et al). 
Nov 13 
Hugo Woerdeman (Drexel) 
Proof of Anderson’s paving conjecture (continued). 
Nov 6 
Hugo Woerdeman (Drexel) 
Proof of Anderson’s paving conjecture (continued). 
Oct 30 
Hugo Woerdeman (Drexel) 
Proof of Anderson’s paving conjecture (after Marcus, Spielman & Srivastava). 
Oct 23 
Charles Burnette (Drexel) 
Periods of Iterated Rational Functions over a Finite Field. 
Oct 16 
Hugo Woerdeman (Drexel) 
Realzero polynomials. 
Oct 9 
Pawel Hitczenko (Drexel) 
Recurrences for generating polynomials and their probabilistic consequences. 
. 
2014  2015 Fridays 34, Korman 245
June 1 
Joseph Ball (Virginia Tech) 
Interpolation and Transfer Function Realization for the NonCommutative SchurAgler (colloquium) 
May 29 
Per Alexandersson (U Penn) 
Banded Toeplitz matrices and linear recurrences. 
May 22 
JeanLuc Bouchot (RWTH Aachen) 
A multilevel compressed sensing PetrovGalerkin method for the approximation of parametric PDEs. 
May 8 
Anatolii Grinshpan (Drexel) 
Of Ball and cube. 
Apr 24 
Gulnara Abduvalieva (Drexel) 
Implicit/inverse function theorems on the set of nilpotent matrices. 
Apr 17 
Amanda Parshall (Drexel) 
The asymptotic distribution of parameters in random weighted staircase tableaux. 
Apr 10 
Hugo Woerdeman (Drexel) 
Ritz values of normal matrices and Ceva’s theorem (after Carden & Hansen). 
Mar 13 
Dmitry KaliuzhnyiVerbovetskyi (Drexel) 
Contractive determinantal representations of stable polynomials. 
Feb 27 
Charles Burnette (Drexel) 
Representing Random Permutations as a Product of Two Involutions. 
Dec 5 
Ben Grossman (Drexel) 
Generalized Choi Maps in ThreeDimensional Matrix Algebra (after Cho, Kye & Lee). 
Nov 21 
Anatolii Grinshpan (Drexel) 
Herbert Stahl’s proof of the BMV conjecture (after Eremenko). 
Nov 14 
Gulnara Abduvalieva (Drexel) 
Implicit/inverse function theorems for free noncommutative functions. 
Nov 7 
Lei Cao (Drexel) 
Horn’s problem, Vinnikov curves, and interpretations of hives. 
Oct 31 
Hugo Woerdeman (Drexel) 

Oct 24 
Robert Boyer (Drexel) 

Oct 17 
Simon Foucart (U of Georgia) 
Two extra structures in sparse recovery: nonnegativity and disjointedness.

2013  2014 Fridays 34, Korman 245
Apr 18 
Lei Cao (Drexel) 

Apr 4 
Hugo Woerdeman (Drexel) 
Moment problems: one variable vs two variables. 
Feb 28 
Hugo Woerdeman (Drexel) 
A stabilization theorem for Hermitian forms and applications to holomorphic mappings (after Catlin & D’Angelo) 
Feb 21 
Daniel Parry (Drexel) 

Feb 14 
Zhongyuang Li (U. Cambridge) 
Critical parameters of lattice models. (colloquium)

Feb 7 
Ahmad Sabra (Temple) 

Jan 31 
Ting Zhou (MIT) 
On transformationoptics based invisibility. (colloquium) 
Jan 22 
Nester Guillen (UCLA) 
Free boundaries in random domains. (colloquium) 
Jan 15 
Scott McCullough (U. Florida) 
Free convex analysis and semialgebraic geometry. (colloquium) 
Nov 22 
Seva Joukhovitski 

Nov 15 
Anatolii Grinshpan 
Determinantal representation of stable polynomials with real coefficients. 
Nov 8 
Dmitry KaliuzhnyiVerbovetskyi 
Longresolvent representations of rational Cayley inner HerglotzAgler functions (continued). 
Nov 1 
Dmitry KaliuzhnyiVerbovetskyi 
Longresolvent representations of rational Cayley inner HerglotzAgler functions. 
Oct 25 
Hugo Woerdeman 
The Schwarz lemma and the SchurAgler class (continued). 
Oct 18 
Andrey Melnikov 
A generalization of the inverse scattering for linear differential equations. 
Oct 11 
Hugo Woerdeman 
The Schwarz lemma and the SchurAgler class. 
Oct 4 
Patrick Clarke 
2012  2013 Fridays 34, Korman 245
June 7 
Jingmin Chen 


May 31 
Ilya Spitkovsky 
On some properties of the field of values generating function.



May 24 
Yuri Maistrenko 


May 17 
Pawel Hitczenko 
Weighted random staircase tableaux, asymmetric exclusion process, and generalized Eulerian polynomials.



May 10 
Alan Edelman 
Random matrices, numerical computation, and applications. 2PM, Paul Peck Alumni Center. 


May 3 
Valerie Girardin 
Escort Distributions Minimizing the KullbackLeibler Divergence for a Large Deviations Principle and Tests of Entropy Level.



Apr 26 
Claude Brezinski Michela RedivoZaglia 
The life and the work of Andre Louis Cholesky. 2PM Padetype rational and barycentric interpolation. 3PM



Apr 19 
Anatolii Grinshpan 
Determinants of zero/one matrices. 


Apr 12 
Hugo Woerdeman 
Bivariate realzero polynomials. 




Mar 1 
Andrey Melnikov 
Proof of existence of a local solution of a KdV equation on the line with analytic initial potential. 


Feb 22 
Ron Perline 


Feb 15 
Marek Swoboda 


Feb 8 
Gideon Simpson 
Numerical Analysis of Parallel Replica Dynamics. 


Feb 1 
Andrey Melnikov 
Solution of the Boussinesq equation using evolutionary vessels. 


Jan 25 
Brandan Farrell 
From Classical Random Matrix Theory to Discrete Uncertainty Principles. 


Jan 18 
Luke Oeding 


Dec 7 
Jim Haglund 
The monotone column permanent theorem. 

Nov 30 
Thomas Yu 

Nov 16 
David Scheinker 
Functions of several complex variables and determinantal representations. 

Nov 9 
Ryan Wasson 

Nov 2 
Daniel Parry 
On the Roots of the Plane Partition Polynomials. 

Oct 26

Nikolai Vasilevski

Twodimensional
singular integral operators via polyBergman spaces,
and
Toeplitz operators with peudodifferential symbols.


Oct 19

Andrey Melnikov

Construction
of a SturmLiouville vessel using GelfandLevitan theory.
Solution
of the Kortewegde Vries equation on the halfline.


Oct 12

Gulnara Abduvalieva

Fixedpoint
theorems for noncommutative functions.


Oct 5

Hugo Woerdeman

Normconstrained determinantal representations of
multivariable polynomials.

