Konstanz Women in Mathematics: Paths in Studies and Career
The information and discussion platform "Konstanz Women in Mathematics: paths in studies and in career" (KWIM) intends to be:
a lecture series aimed to present mathematical results/biographies of female mathematicians and/or their experience in academia.
a meeting point for female mathematicians which intends to promote them in their paths in studies and career.
a counseling by women for women.
This project is supported by the Equal Opportunity Council at the University of Konstanz from 01.01.2016 to 31.10.2017 under the project number FP689/14 and coordinated by Maria Infusino as academic assistant of Salma Kuhlmann.
On this webpage you can find all the activities within this project.
If you are interested in knowing more about the KWIM project and its activities, please download the KWIM presentation given by Maria Infusino on October 26th 2016. More details about KWIM past activities can be found here .
Guidelines: If you would like to suggest guests or to give yourself a presentation in this lecture series, please contact at least 10 days in advance: Maria Infusino (maria.infusino@uni-konstanz.de) .
KWIM Lectures Series
Where available, you can download the pdf-file of a talk by clicking on its title in the list below.
Mickaël Matusinski (Universiteé Bordeaux, France): Sofia Kovalevskaya : mathematician, writer, revolutionnary.
Tuesday January 17th 2016, 17:00 - 18:15, Room D432 Abstract.
Sofia Kovalevskaya is a prominent historical personality. She used to be
a full leading mathematician of her time, at an international level,
thanks to her rich and varied works that are taught everywhere and
continue to inspire us.
She was also - and not less - a militant socialist and feminist, and a
committed novelist, emblematic figure of the Russian - and even European
- intelligentsia rebeling during an era of historical upheavals.
We will address these different aspects of her life.
Diana Conache (TU München, Germany): Equilibrium states of interacting particle systems.
Tuesday February 9th 2016, 17:00 - 18:15, Room G300 Abstract.
Interacting particle systems are an increasingly popular field of study, due to applications not only in physics, but also in biology, ecology, economy, sociology, etc.
Their mathematical modelling involves a beautiful mixture of techniques from analysis and probability alike. In this talk, I will focus on describing their behaviour in
equilibrium and answer questions like: Can the system reach equilibrium? Is the equilibrium state unique?
We will review some of the most important results in the literature and present some recent ones as well,
focusing on the case of systems in the continuum.
Jihad A. Titi (Universität Konstanz, Germany): Matrix methods for an efficient computation of the tensorial Bernstein coefficients.
Tuesday May 31st 2016, 17:00 - 18:15, Room F426 Abstract.
Solving optimization problems is of paramount importance in many real-life and scientific problems;
polynomial global optimization problems form a significant part of them.
Considered problems are unconstrained and constrained optimization problems over boxes.
One approach for their solution is based on the expansion of a polynomial into Bernstein polynomials
of the objective function and the constraints polynomials, the so-called Bernstein form. The coefficients (Bernstein coefficients)
can be rearranged in a multi-dimensional array, the so-called Bernstein patch. From these coefficients we get bounds for the range
of the objective function and the constraints over a box. We can improve the enclosure for the range of the polynomial by elevating
the degree of the Bernstein expansion or by subdivisions of the region. In this talk, multivariate polynomials in the Bernstein basis over a box
(tensorial Bernstein form) will be considered. Two new matrix methods for the computation of the polynomial coefficients with respect to the
Bernstein basis will be presented and compared with existing methods. Also, matrix methods for the calculation of the Bernstein coefficients
over subboxes generated by subdivision of the original box will be introduced.
Lyudmila Grigoryeva (Universität Konstanz, Germany): Time-delay differential equations in machine learning.
Tuesday June 21st 2016, 17:00 - 18:15, Room F426 Abstract.
Reservoir computing is a recently introduced brain-inspired machine learning paradigm. We focus on a specific type of reservoir computers that is based on the use of time-delay differential equations. We call them time-delay reservoirs (TDRs). TDRs have been physically implemented using optical and electronic systems showing unprecedented data processing rates. We study the performance of TDRs in different working regimes and establish their functional link with the reservoir parameters. We focus on the stability analysis of the underlying time-delay differential equation and propose an approximating model that allows us to explore various properties of the device and to choose the optimal reservoir architecture, thus replacing tedious and time consuming parameter scannings used so far in the literature. In the proposed framework we tackle standard machine learning tasks of forecasting and reconstruction of stochastic time series. The discussed novel machine learning technique shows excellent potential in high-dimensional classification problems.
16:00-17:00 Raman Parimala (Emory University, Atlanta, USA): Hasse principle over function fields Abstract.
The classical theorem of Hasse and Minkowski asserts that a
quadratic form over the field of rational numbers represents zero
nontrivially provided that it represents zero nontrivially over
completions at all its places. Analogous questions for function
fields have interesting consequences. We shall discuss the
analogy between the field of rational numbers and function fields
of p-adic curves in the context of Hasse principles for quadratic
forms and more general structures.
17:15-18:15 Charu Goel (Indian Institute of Science Education and Research, Mohali, India): Cones in and around the sum of squares cone Abstract.
In this talk we will first introduce cones of sums of squares of k-term
forms, which are more restrictive than the sums of squares cone.
We then present some relevant worked out examples to show how
these cones look like and relate to each other. Finally, we will
describe cones of forms, which correspond to existence of a Gram
matrix that is non-negative on varieties containing the Veronese
variety, and explain how this gives us a nice filtration of
intermediate cones between the sums of squares cone and the
cone of positive semidefinite forms.
Frauke Liers (Universität Erlangen-Nürnberg, Germany): Robust solution approaches for optimization under uncertainty:
applications to air traffic management problems
Tuesday November 15th 2016, 17:00 - 18:15, Room F426 Abstract.
Real applications often face uncertainty in the input
parameters. Robust optimization takes these uncertainties into account
already in the mathematical model. The task is to determine solutions
that are feasible for all considered realizations of the uncertain
parameters, and among them one with best guaranteed solution value. In
this talk, we focus on efficient planning of runway utilization under
uncertainty as this is one of the main challenges in air-traffic
management. We present optimization approaches for runway
scheduling as well as for the pre-tactical planning
phase. Mathematically, this leads to NP-hard optimization problems in
which b-matchings with side constraints need to be determined. We
present structural insights as well as effective exact solution
algorithms. In reality, uncertainty and inaccuracy almost always lead
to deviations from the actual schedule. We present robust optimization
approaches together with computational results that show their
effectiveness. These approaches are integrated and validated within
simulation procedures. It is shown that the models that the robust
models yield considerably more stable plans than the approaches that
ignore uncertainties, at the price of limited increase in delay only.
Maria Valentino (King's College London, United Kingdom): On the diagonalizability of the Atkin U-operator for Drinfeld cusp forms
Tuesday November 29th 2016, 17:00 - 18:15, Room F426 Abstract.
In this talk we shall begin with an introduction to the world of Drinfeld modular forms,
which are the analogous of modular forms in the realm of function fields in positive characteristic.
We shall then address the problem of the diagonalizability of the function field analogous of the Atkin U-operator.
This is a joint work with A. Bandini (University of Parma).
Mima Stanojkovski (Leiden University, Netherlands): Intense automorphisms of groups
Tuesday January 24th 2017, 17:00 - 18:15, Room F426 Abstract.
Let G be a finite group. A good strategy for understanding the structure of G is that of studying its group of symmetries, Aut(G). Let Int(G) be the subgroup of Aut(G) consisting of those automorphisms (called 'intense') that send each subgroup of G to a conjugate. Intense automorphisms arise naturally as solutions to a problem coming from Galois cohomology, still they give rise to a greatly entertaining theory on its own.
We will discuss the case of groups of prime power order and we will see that, if G has prime power order but Int(G) does not, then the structure of G is (surprisingly!) almost completely determined by its nilpotency class.
Sabrina Ouazzani(Université Paris-Est Créteil, France): A mixture of computability and ordinals, the infinite time Turing machines
Tuesday April 25th 2017, 17:00 - 18:15, Room F426 Abstract.
In this talk, we present infinite time Turing machines (ITTM), from a general introduction on computability and ordinals to the original definition of this transfinite model of computation.
We will also present algorithmic techniques that allow to highlight some properties of the ITTM-computable ordinals. In particular, we will introduce gaps in ordinal computation times, that is to say, ordinal times
at which no infinite time program halts.
Martina Juhnke-Kubitzke(Universität Osnabrück, Germany): Face numbers of (balanced)
simplicial polytopes and manifolds
Tuesday May 16th 2017, 17:00 - 18:15, Room F426 Abstract.
Given a closed manifold M together with a triangulation Δ, a classical question in geometric combinatorics and discrete geometry asks for the smallest number of vertices Δ can possibly have. Fixing the number of vertices, one can even wonder, what the smallest/largest number of edges are. More generally, a classical problem is to characterize all possible face numbers of Δ. The first part of this talk will provide a brief introduction into the study of face numbers of simplicial polytopes and manifolds and survey some of the most classical and important results. In the second part, we will consider so-called balanced triangulations, where a triangulation is balanced if and only if there exists a coloring of its vertices without monochromatic edges. In particular, we will be interested in lower bounds for the face numbers of this type of triangulations. This is joint work
with Satoshi Murai, Isabella Novik and Connor Sawaske.
Deirdre Haskell(McMaster University, Canada): Using model theory to find upper bounds on VC density
Tuesday May 30th 2017, 17:00 - 18:15, Room F426 Abstract.
The VC dimension of a collection of sets is a
concept used in probability and learning theory. It is
closely related to the model-theoretic concept of the
independence property. In this talk, I will illustrate
these concepts in various examples, and show how
the model-theoretic approach can give some
bounds on VC density. I will also talk a bit about
my own experience as a woman in mathematics,
and the place of affirmative action in hiring.
Tobias Kuna(University of Reading, UK):Response theory for non-smooth observables and women in mathematics in the UK
Tuesday June 27th 2017, 17:00 - 18:15, Room F426 Abstract.
First, I will describe the situation of women in
mathematics in UK with a particular focus on the
national Athena SWAN (Scientific Women’s Academic
Network) Charter and its effects. Then I will present a
joint work with Viviane Baladi, who is a leading expert in
the functional approach to statistical properties of
dynamical systems. We studied together with Valerio
Lucarini the change of the SRB measure of an Axiom A
system with respect to the perturbation of the dynamic.
The novelty is that we consider discontinuous
observables which lead to linear or fractional response.
The question is motivated by extreme value theory for
dynamical systems and the associated over-threshold
events.
Malabika Pramanik(University of British Columbia, Canada): On Lebesgue-improving measures
Tuesday July 4th 2017, 17:00 - 18:15, Room F426 Abstract.
We know how to measure smoothness of a function (for example:
how many times is it differentiable), but how does one measure the
smoothness of a measure? This talk, intended for a general mathematical
audience, will be devoted to a survey of this topic, with many examples. I
will also talk a bit about my career path and some recent initiatives
concerning women in mathematics that I have been involved with.
Alev Topuzoglu(Sabanci University, Turkey) On permutation polynomials over finite fields
Tuesday July 18th 2017, 17:00 - 18:15, Room F426 Abstract.
Permutation polynomials over finite fields have gained considerable attention in
the last decades, due to their vast applications, especially in combinatorics,
coding and cryptography. In order to meet the specific requirements of individual applications,
methods of construction of special types of permutations and/or new ways of classifying them are needed.
Carlitz rank of a permutation polynomial is a simple concept that was introduced in the
last decade, and classifying permutations with respect to their Carlitz ranks was shown to
have some significant advantages. This talk is intended for a general mathematical audience,
and aims to present a variety of results concerning this notion. Based on my research experiences,
I will also include some suggestions for students and young researchers.
KWIM in the international scientific community
Meeting with the Reading Equality and Diversity Committee: November 27th, 2015, University of Reading, UK
Fishbowl discussion at MFO Workshop 1710 entitled "Real nonnegative representations for women in mathematics" : March 8th 2017, MFO, Oberwolfach, Germany.