Research Recruitment Seminar: Difference between revisions

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Early program graduate students are especially encouraged to attend, but anyone is welcome.
Early program graduate students are especially encouraged to attend, but anyone is welcome.


To sign up for this seminar, please fill out this form: https://goo.gl/forms/DaZiLRaoLGuxgzXJ3
To sign up to speak in this seminar, please fill out this [https://goo.gl/forms/DaZiLRaoLGuxgzXJ3 form].
 
This seminar is organized by Lorenzo Najt and Yu Sun, please contact them with questions.




== '''Spring 2018''' ==
== '''Spring 2018''' ==


In general the time of this seminar is flexible (though we will try to stick to 4PM on Mondays and 12 Noon on Fridays), so please check each talk for the exact time and location.
------


We usually have this seminar at Monday 4-5 P.M. The location is B115.
Time: 12-1 on Friday, Feb 9th 2018


Some weeks the seminar will be held Friday 12-1 P.M. The Friday location is not yet fixed.
Location: B215


Speaker: [http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault]
Title: '''Applied topology, mixing, and microswimmers'''
Abstract: "I will discuss several topics of my current research, which involves applications of topology and partial differential equations.  First, we'll see how ideas from braids and mapping class groups can be used to investigate the behavior of dynamical systems as well as characterize braiding of actual textiles.  Nest, we'll examine how the mixing of fluids can be studied via PDEs, and some connections to probability theory.  Finally, I'll discuss probabilistic problems for swimming microorganisms, such as dispersion and consumption of resources."
------
Time: 4-5 on Monday, Feb 12 2018
Location: B115 in Van Vleck
Speaker: Paul Terwilliger
Title: '''Tridiagonal pairs and applications'''
Abstract: A tridiagonal pair is a linear algebraic object that appears
in many subjects, such as
(i) Combinatorics (Q-polynomial graphs);
(ii) Lie theory (sl2, affine sl2, tetrahedron algebra);
(iii) Quantum groups (Uqsl2, affine Uqsl2, q-tetrahedron algebra);
(iv) Physics (Onsager algebra, q-Onsager algebra);
(v) Special functions (q-Racah polynomials etc from the Askey scheme of orthogonal polynomials);
(vi)  Representation theory (the universal Askey-Wilson algebra, DAHA of type (C1V, C1).
We will describe some main facts about tridiagonal pairs, and discuss some
of the above connections. The talk is nontechnical and meant for a
wide audience.




----
----
Monday, February 5, 2018, [http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault]


Time: 12 on Friday, Feb 16 2018
Location: B215
Speaker: Daniel Erman
Title: '''Syzygies'''
Abstract:  I’ll discuss some of the subtleties that arise when one tries to do linear algebra over the polynomial ring, as well as connections to algebraic geometry.
----
----
Title: '''Applied topology, mixing, and microswimmers'''


Abstract: "I will discuss several topics of my current research, which involves applications of topology and partial differential equations. First, we'll see how ideas from braids and mapping class groups can be used to investigate the behavior of dynamical systems as well as characterize braiding of actual textiles. Nest, we'll examine how the mixing of fluids can be studied via PDEs, and some connections to probability theory. Finally, I'll discuss probabilistic problems for swimming microorganisms, such as dispersion and consumption of resources."
Time: 4-5 on Monday, Feb 19 2018
 
Location: B115
 
Speaker: Saverio Spagnolie
 
Title: '''Fluid-structure interactions, from biolocomotion and active suspensions to liquid crystals'''
 
Abstract: I will discuss a few problems in the interactions of simple/complex fluids and immersed deformable structures, ranging from the evolution of locomotion on the planet to the dynamics and self-assembly of soft, active matter. I will show how the development of novel numerical techniques can be used alongside classical methods of applied mathematics to study the coupled nonlinear PDEs that describe these exciting physical systems, and point to a number of open problems in these fields.  
 
----
 
Time: 12 on Friday, Feb 23 2018
 
Location: B215
 
Speaker: Sigurd Angenent
 
 
Title: '''Curve shortening in the plane and in space.'''
 
Abstract: Curve shortening is one of the simplest geometric evolution equations like Mean Curvature Flow, Ricci Flow, Yang-Mills flow, harmonic map flow, Willmore flow.  I’ll talk about what is known (a lot) and what isn’t known (much more) about singularities in curve shortening for plane curves and for space curves.
 
----
 
Time: Tuesday, March 20, 4pm
 
Location: B139
 
Speaker: Betsy Stovall
 
Title: '''Two endpoint bounds via inverse problems'''


Abstract:  In Mathematics in general, and Analysis in particular, one strategy for solving a problem is to begin by understanding what a counter-example would look like.  In this talk, we will apply a quantitative version of this approach to prove two endpoint results, one for a Fourier Restriction operator and one for an averaging operator.  The latter is joint work with Christ, Dendrinos, and Street. 


----
----

Latest revision as of 18:22, 10 March 2018

This is a seminar in which faculty advertise their research areas to prospective graduate students.

Early program graduate students are especially encouraged to attend, but anyone is welcome.

To sign up to speak in this seminar, please fill out this form.

This seminar is organized by Lorenzo Najt and Yu Sun, please contact them with questions.


Spring 2018

In general the time of this seminar is flexible (though we will try to stick to 4PM on Mondays and 12 Noon on Fridays), so please check each talk for the exact time and location.



Time: 12-1 on Friday, Feb 9th 2018

Location: B215

Speaker: Jean-Luc Thiffeault

Title: Applied topology, mixing, and microswimmers

Abstract: "I will discuss several topics of my current research, which involves applications of topology and partial differential equations. First, we'll see how ideas from braids and mapping class groups can be used to investigate the behavior of dynamical systems as well as characterize braiding of actual textiles. Nest, we'll examine how the mixing of fluids can be studied via PDEs, and some connections to probability theory. Finally, I'll discuss probabilistic problems for swimming microorganisms, such as dispersion and consumption of resources."



Time: 4-5 on Monday, Feb 12 2018

Location: B115 in Van Vleck

Speaker: Paul Terwilliger

Title: Tridiagonal pairs and applications

Abstract: A tridiagonal pair is a linear algebraic object that appears in many subjects, such as (i) Combinatorics (Q-polynomial graphs); (ii) Lie theory (sl2, affine sl2, tetrahedron algebra); (iii) Quantum groups (Uqsl2, affine Uqsl2, q-tetrahedron algebra); (iv) Physics (Onsager algebra, q-Onsager algebra); (v) Special functions (q-Racah polynomials etc from the Askey scheme of orthogonal polynomials); (vi) Representation theory (the universal Askey-Wilson algebra, DAHA of type (C1V, C1).

We will describe some main facts about tridiagonal pairs, and discuss some of the above connections. The talk is nontechnical and meant for a wide audience.



Time: 12 on Friday, Feb 16 2018

Location: B215

Speaker: Daniel Erman

Title: Syzygies

Abstract: I’ll discuss some of the subtleties that arise when one tries to do linear algebra over the polynomial ring, as well as connections to algebraic geometry.


Time: 4-5 on Monday, Feb 19 2018

Location: B115

Speaker: Saverio Spagnolie

Title: Fluid-structure interactions, from biolocomotion and active suspensions to liquid crystals

Abstract: I will discuss a few problems in the interactions of simple/complex fluids and immersed deformable structures, ranging from the evolution of locomotion on the planet to the dynamics and self-assembly of soft, active matter. I will show how the development of novel numerical techniques can be used alongside classical methods of applied mathematics to study the coupled nonlinear PDEs that describe these exciting physical systems, and point to a number of open problems in these fields.


Time: 12 on Friday, Feb 23 2018

Location: B215

Speaker: Sigurd Angenent


Title: Curve shortening in the plane and in space.

Abstract: Curve shortening is one of the simplest geometric evolution equations like Mean Curvature Flow, Ricci Flow, Yang-Mills flow, harmonic map flow, Willmore flow. I’ll talk about what is known (a lot) and what isn’t known (much more) about singularities in curve shortening for plane curves and for space curves.


Time: Tuesday, March 20, 4pm

Location: B139

Speaker: Betsy Stovall

Title: Two endpoint bounds via inverse problems

Abstract: In Mathematics in general, and Analysis in particular, one strategy for solving a problem is to begin by understanding what a counter-example would look like. In this talk, we will apply a quantitative version of this approach to prove two endpoint results, one for a Fourier Restriction operator and one for an averaging operator. The latter is joint work with Christ, Dendrinos, and Street.