**Welcome to the Mathematics Department!**

Our research specialties are in algebra, analysis, geometry, probability and topology.

There are about thirty-five research faculty members and almost seventy graduate students in the department.

The American Mathematical Society has ranked us in the top group of U.S. research departments in Mathematics.

Six members of the department were named Fellows of the American Mathematical Society in 2013. Three members of the department spoke in the Lie Theory Section of the 2014 International Congress of Mathematics.

We also take great pride in the quality of our outstanding undergraduate teaching as well as our thriving graduate program.

The EUGENE MATH CIRCLE is continuing in the department. It is aimed at elementary, middle and high school students who enjoy math and want to be stretched by challenging problems.

## News and Events

## Robert Lipshitz to speak at ICM 2018

Congratulations to Professor Robert Lipshitz who has been invited to speak at 2018 International Congress of Mathematicians, to be held in Rio de Janeiro in August 2018.

## Distinguished Lecture Series for Students – April 4

John Dabiri (Professor at Stanford University, expert on fluid mechanics, MacArthur “Genius Grant” Fellowship winner, PECASE winner, one of Popular Science’s “Brilliant 10”) will give a broadly accessible talk, “Jellyfish, Wind Turbines, and Turbulence: Dealing with Data Extremes in Complex Flows,” at 5:15 pm on Tuesday, April 4, in Willamette 100. This is part of the Mathematics Department’s Distinguished Lectures for Students series. All are welcome, and undergraduates are especially encouraged to attend.

A poster with an abstract and more details is available here: Poster

## Distinguished Lecture Series for Students – February 22

Elisabeta Marai, from the University of Illinois at Chicago’s Electronic Visualization Lab, will visit and give a broadly accessible talk, “Computer Graphics for Science,” at 5:15 pm on Wednesday, February 22, in Willamette 100. This is part of the Mathematics Department’s Distinguished Lectures for Students series. All are welcome, and undergraduates are especially encouraged to attend.

A poster with more details is available here: Poster

## 2017 Pacific Northwest Geometry Seminar Dedication

The 2017 Pacific Northwest Geometry Seminar, March 4-5, Portland, will be dedicated to the memory of John Leahy, our colleague who passed away in January, 2015.

https://www.math.washington.edu/~lee/PNGS/2017-spring/

## Eugene Youth Math Festival

We invite all young students, who like math and share a passion for games, problem solving, and hands-on math activities, to come to our first math festival. This year we are able to offer free admission without prior registration. Please feel free to come and explore!

10:00 am – 1:00 pm, Saturday, February 18, 2017. Please see our poster for more details.

## Graduate Student Cathy Hsu Wins Poster Award at JMM

At the Joint Math Meetings in Atlanta this month, doctoral candidate Cathy Hsu won the Most Outstanding Graduate Student Research Poster award from the Association for Women in Mathematics. The Department congratulates her on her success!

## Ben Elias wins New Horizon Prize

Congratulations to Assistant Professor Benjamin Elias. He and his collaborator, Geordie Williamson of Kyoto University and University of Sydney, were awarded a $100,000 New Horizon Prize in Mathematics on Sunday, December 4th. There are three of these awards given each year in recognition of the achievements of early-career mathematicians.

For more details, visit https://breakthroughprize.org/News/34

This story was also featured in AroundtheO. See the spotlight article at http://around.uoregon.edu/content/math-professor-ben-elias-brings-new-horizons-prize-uo?atm_source=ato12-14-16

## AWM Student Chapter Distinguished Speaker

Monica Vazirani, Professor of Mathematics at University of California, Davis will visit campus on November 10th and 11th to deliver the fall 2016 AWM Student Chapter Distinguished Speaker Lectures.

Professor Vazirani will give a broadly accessible talk on Thursday, November 10th in Deady 106.

The title of this talk, which is suitable for undergraduates, is *Applications of symmetry via the lemma that is not Burnside’s*.

Professor Vazirani will give a colloquium talk on Friday, November 11th, at 4:00 pm in Deady 208. The title of this research-level talk, is *Representations of the affine BMW algebra*.

## Distinguished Lecture Series for Students – November 14th

Jayadev Athreya – Director the Washington Experimental Mathematics Lab, Associate Professor of Mathematics at the University of Washington, and co-creator of the project Axiomatic that blends math and art – will visit and give a broadly accessible talk (as part of the Mathematics Department’s Distinguished Lectures for Students series) at 5:15 pm on Monday, November 14 in Straub 245. All are welcome, and undergraduates are especially encouraged to attend.

A poster with more details is available here:

Poster

## Vitulli Receives AWM Service Award

Congratulations to Marie Vitulli, Professor Emerita, for receiving an Association for Women in Mathematics Service Award.

## Vaintrobfest – November 5th & 6th

A conference to honor Arkady Vaintrob’s 60th birthday will be held at the Department of Mathematics on November 5-6, 2016. Talks will be given in several areas, reflecting Professor Vaintrob’s diverse interests.

More details can be found at http://www-math.mit.edu/~etingof/vaintrobfest.html

## UO Math Alumna Appointed Director of AMS D.C. Office

Karen Saxe, DeWitt Wallace Professor of Mathematics at Macalester College, has been named Director of the Washington, D.C. Office of the American Mathematical Society.

Professor Saxe received her doctoral degree from the University of Oregon Department of Mathematics in 1988.

Read the full announcement at http://www.ams.org/news?news_id=3136.

## Funds for Faculty Excellence

Congratulations to Huaxin Lin and Victor Ostrik for receiving the Fund for Faculty Excellence Award this year.

## Distinguished Lecture Series for Students

Ken Ono – Associate Producer of The Man Who Knew Infinity (starring Jeremy Irons and Dev Patel, currently playing in theaters), former professional cyclist (for the Pepsi Miyata team), former member of Team USA in the world age-group triathlon championships, and distinguished mathematics professor at Emory University – will visit and give a broadly accessible talk (as part of the Distinguished Lectures for Students series) at 5:15 pm on Wednesday, May 25, in Lillis 282.

A poster with more details is available here:

Poster

Ono says the talk will be broadly accessible, “even by 6th graders.”

## Moursund Lectures

# Moursund Lectures

### 17-19 May 2016

## Peter Ozsváth

### Princeton University

Professor Ozsváth will give three lectures on the general theme of

### Floer homology and 3-manifolds

- Lecture 1: Holomorphic disks and low-dimensional topology
**Abstract:**Heegaard Floer homology is a closed three-manifold invariant, defined in joint work with Zoltan Szabo, using methods from symplectic geometry (specifically, the theory of pseudo-holomorphic disks). The inspiration for this invariant comes from gauge theory. I will describe Heegaard Floer homology, motivate its construction, list some of its key properties, and give some of its topological applications.4pm, Tuesday, 17 May 2016, 145 Straub Hall

- Lecture 2: A knot invariant from grid diagrams
**Abstract:**Knot Floer homology is an invariant for knots in three-space, which arises naturally when one attempts to understand how Heegaard Floer homology transforms under certain three-dimensional operations. Knot Floer homology has the form of a bigraded vector space, encoding information about the complexity of the knot. The invariant was

originally defined in collaboration with Zoltan Szabo, and indepedently by Jacob Rasmussen. I will describe a combinatorial algorithm for computing this invariant, discovered in joint work with Ciprian Manolescu and Sucharit Sarkar, and further elaborated in joint work with Manolescu, Szabo, and Dylan Thurston. I will also sketch some of the applications of this invariant to knot theory, and some of its connection with other knot invariants.4pm, Wednesday, 18 May 2016, 110 Fenton Hall

- Lecture 3: Bordered Floer homology
**Abstract:**I will describe “bordered Floer homology”, an invariant for three-manifolds with boundary that generalizes Heegaard Floer homology. The bordered theory associates a differential graded algebra to a parameterized surface; it also assocates a graded module to a three-manifold with boundary. This construction leads to a better conceptual understanding of Heegaard Floer homology, and it also gives a method for computation. Bordered Floer homology was introduced in joint work with Robert Lipshitz and Dylan Thurston. Time permitting, I will also describe a bordered approach to knot invariants, which is joint work with Zoltan Szabo.4pm, Thursday, 19 May 2016, 145 Straub Hall