## 2017 Senior Honors Talks

### Monday, April 10, 2017

#### Emily Masten

Seeley Mudd 206 4:30 - 5:15

Refreshments in Seeley Mudd 206 at 4

#### Fraser Binns

Seeley Mudd 207 4:30 - 5:15

Refreshments in Seeley Mudd 207 at 4

### Wednesday, April 12, 2017

#### Levi Lee

Seeley Mudd 206 4:30 - 5:15

Refreshments in Seeley Mudd 208 at 4

#### Paul Gramieri

Seeley Mudd 207 4:30 - 5:15

Refreshments in Seeley Mudd 208 at 4

### Thursday, April 13, 2017

#### Jacob Pfau

Seeley Mudd 206 4:30 - 5:15

Refreshments in Seeley Mudd 208 at 4

#### Nhi Truong Vu

Seeley Mudd 207 4:30 - 5:15

Refreshments in Seeley Mudd 208 at 4

### Friday, April 14, 2017

#### Caleb Ki

Seeley Mudd 206 4:30 - 5:15

Refreshments in Seeley Mudd 208 at 4

### Monday, April 17, 2017

#### Felipe Pereira Debayle

Seeley Mudd 206 4:30 - 5:16

Refreshments in Seeley Mudd 208 at 4

## Senior Math Major Honored for her Undergraduate Research

Nhi Truong Vu '17 was awarded Honorable Mention for the 2017 Alice T. Schafer Prize for excellence in mathematics by an undergraduate woman. This is a national award given by the Association for Women in Mathematics, to be presented during the AMS-MAA Joint Meetings in Atlanta at an awards ceremony during the evening of January 4th.

## Article about Tanya Leise and "Bear Necessities":

https://www.amherst.edu/news/news_releases/2017/03/bear-necessities

## Thursday, March 23

### Sybilla Beckmann

### University of Georgia

*The surprising depth and complexity of elementary- and middle-grades mathematics and the mathematical education of teachers*

Abstract: What mathematics should future elementary- and middle-grades teachers study as part of their preparation for teaching? Current recommendations are that prospective teachers study the mathematics they will teach in depth, and from the perspective of a teacher. Yet how can courses that focus on elementary- and middle-school mathematics legitimately qualify as college-level experiences? In this presentation I will show some of the surprising depth and complexity of elementary- and middle-grades mathematics, much of which has been revealed by detailed studies into how students think about mathematical ideas. In turn, research into students' thinking has led to the development of teaching-learning paths, which are reflected in the Common Core State Standards for Mathematics. These teaching-learning paths are widely used in mathematically high-performing countries, but not well understood in this country. Finally, I will argue that for the mathematics teaching profession to be strong, we need a system in which all of us who teach mathematics, at any level, take collective ownership of and responsibility for mathematics teaching, and recognize the importance of careful mathematical preparation for entering the profession.

This talk is sponsored by the Eastman Fund.

4:30 pm in Seeley Mudd 206. Refreshments in Seeley Mudd 208 at 4:00 pm.

## Thursday, March 2, 2017

### J. Maurice Rojas of Texas A&M

### Polygons and Approximating Roots

Abstract: Looking at polynomials in the simplest possible way leads us to fast and elegant algorithms. For instance, if you simply look at a polynomial as a sum of terms, and plot a point for each term in a certain way, you naturally get a polygon from which you can read off important information about the complex roots. We explain these tricks, and how they relate to 19th century work on the Riemann zeta function and new results about solving systems of polynomial equation. There are also relations to the exciting new field called tropical geometry. We start from scratch, and assume no background beyond second semester calculus and a modest acquaintance with complex numbers.

4:30 pm in Seeley Mudd 206. Refreshments at 4:00 pm in Seeley Mudd 208.

## Wednesday, April 5, 2017

**Walker Prize Examination for First Year students and Sophomores**

The Walker Prize Examination is an annual Mathematics competition for any interested first and second year students at Amherst College. The competition takes the form of a timed written exam, usually consisting of ten problems over the course of three hours. No calculators, phones, books, notes, or other aids are allowed during the exam.

There are substantial monetary prizes for the top two scorers in each of the two class years eligible. That is, first year students are competing only with other first years, and sophomores are competing only with other sophomores. Ties are rare but possible.

The exam is designed to emphasize mathematical ingenuity rather than possession of specific background material. In particular, no mathematics beyond that covered in MATH 111-121 will be assumed, and many of the problems don't require content even at that level. The problems are intended to be interesting and thought-provoking. The clarity of each participant's written arguments, and not just mathematical correctness of the answers, counts heavily in the scoring.

For more information about the exam and to see old exams, go to the Prizes and Awards page.

7:00 - 10:00 pm, Seeley Mudd 206

## Harris Daniels named honorary member of Class of 2016

Congratulations to Mathematics Professor Harris Daniels who was named an honorary member of the Amherst College Class of 2016. Harris received a certificate and a cane (the same that the graduating seniors receive).

## Mu Sigma Rho award plus new group of inductees

Ningyue (Christina) Wang '16 has been chosen as the recipient of the 2016 Boston Chapter of the American Statistical Association Mu Sigma Rho Award. This annual award recognizes one outstanding statistics undergraduate per year in the BCASA region (Rhode Island, Massachusetts, Maine, New Hampshire, and Vermont). Mu Sigma Rho is the national statistics honor society. Christina was selected as the inaugural winner of the award based on her outstanding achievements in statistics (she had been inducted into Mu Sigma Rho in 2015).

In addition to Christina's award, eleven Amherst College students were inducted into Mu Sigma Rho. Congratulations to Jonathan Che, Stephany Flores-Ramos, Paul Gramieri, Connor Haley, Azka Javaid, Rishi Kowalski, Levi Lee, Amanda Rosenbaum, Muling Si, Sarah Teichman, and Alex Titelbaum for their academic achievements and distinction.

**Amherst Students win Best in Show and Best in Group at Five College ASA DataFest **

Congratulations to Jonathan Che, Pei Gong, Timothy Lee, Shelly Tang, and Sarah Teichman for being named "Best in Group" and "Best in Show" at the Five College ASA DataFest. Other winners from Amherst included the team consisting of Jordan Browning, Jerry Chen, Brendan Seto, Leonard Yoon, and Jingwen Zhang. DataFest is a data analysis competition where teams of up to five students have a weekend to attack a large, complex, and surprise dataset. More than 130 undergraduate students from the Five Colleges participated in this year's event. More details can be found at http://www.science.smith.edu/datafest/2016/04/04/recap-of-winners-from-datafest-2016/

### Mathematics Professor Michael Ching named Lazerowitz Lecturer (April 14, 2016)

Congratulations to Michael Ching, who has been named as the 2015-2016 Lazerowitz Lecturer. His talk, entitled "Shape" took place on Thursday, April 14th in Paino Lecture Hall (Beneski). The abstract states that the universe around us is full of fascinating shapes: we see them in the natural world, we put them in our buildings, we see them in the remnants of exploded stars. Einstein proposed that the universe itself has an interesting shape - that space is curved. In the world of our imagination, there are even more fantastic shapes that have beautiful and interesting properties: worlds that you can walk all the way around and come back as a mirror image of yourself, surfaces that can be knotted like higher-dimensional pieces of string.

In this talk he will describe how mathematicians think of shapes and understand their fundamental properties. How can we tell two shapes apart? What ways can two different shapes be similar? How can we “measure” shape? Can we hope to build a catalog of all possible shapes?

This ethereal topic has recently started to have more down-to-earth applications. The emergence of “big data” has led to a need for new ways to analyze that data, and one such analysis is to look for interesting shapes therein. Where before we might be happy to find that a set of data forms a straight line, now there are ways to detect circles, surfaces and higher-dimensional shapes hidden in the numbers. These higher-order patterns can illuminate unexpected relationships and tell you something that traditional data analysis might miss.

### Cox, Little, and O'Shea to Receive 2016 AMS Steele Prize for Exposition

The AMS Leroy P. Steele Prize for Exposition was awarded to three mathematicians: **David Cox** (Amherst College), **John Little** (College of the Holy Cross), and **Donal O'Shea** (New College of Florida) "for their book *Ideals, Varieties, and Algorithms*, which has made algebraic geometry and computational commutative algebra accessible not just to mathematicians but to students and researchers in many fields."

Algebraic geometry has a reputation for being impenetrably technical and abstract. By requiring only linear algebra as a prerequisite, the book by Cox, Little, and O'Shea invites a broad audience of readers into this central branch of mathematics. Using geometry to introduce core topics and appealing to computational theory to prove fundamental results, they complement the development of theoretical results with applications to such topics as automated theorem proving and robotics. All of this is delivered with crystal-clear exposition and top-quality writing.

"Even more impressive than [the book's] clarity of exposition is the impact it has had on mathematics," the prize citation states. "*CLO*, as it is fondly known, has not only introduced many to algebraic geometry, it has actually broadened how the subject could be taught and who could use it." The book helped bring the topic of computational algebra into the mathematical mainstream. In particular, the book's presentation of the theory of Gröbner bases "has done more than any other book to popularize this topic." Gröbner bases provide a way to efficiently automate certain calculations in algebraic geometry. The subject of Gröbner bases has boomed in recent years, in part because of significant applications to such diverse problems as oil exploration, software design, genetics, and robot kinematics.

Originally published by Springer Verlag in 1992, the fourth edition of *CLO* appeared just this year. The book has truly become a classic. It not only has provided many of today's mathematicians with their first grounding in algebraic geometry, but also has brought this area of mathematics to the service of scientists and engineers. All three authors are top-flight mathematicians at small colleges; O'Shea was at Mount Holyoke College for more than 30 years before becoming the president of New College of Florida in 2012. Their book shows how small colleges make signal contributions to the advancement of mathematics, the training of future mathematicians, and the applications of mathematics to other disciplines. The AMS Steele Prize is one of the highest distinctions in mathematics.

Cox received the Lester R. Ford Prize from the Mathematical Association of America (2012) and was elected as a Fellow of AMS (2013). Little has received distinctions for his outstanding service to the College of the Holy Cross, including its Distinguished Teaching Award (2003) and the Anthony and Renee Marlon Professorship in the Sciences (2012-2015). In 2008, O'Shea received the Peano Prize for his book *The Poincaré Conjecture: In Search of the Shape of the Universe* (Walker & Company, 2006).

#### Ongoing - Math and Stats Table every Monday, noon - 1:30, Valentine Terrace Room B MOST weeks

Past News and Events can be found in the Archive.

### DataFest Results

Amherst College was represented by 4 teams (a total of 18 students) at the Five College DataFest held the weekend of March 27-29, part of a national competition sponsored by the American Statistical Association. This was the second year for the event in the Five Colleges. Participants spent 25 hours over the course of the weekend tackling a large dataset, and gave 6-minute presentations summarizing their insights. 6 teams out of 16 total were awarded prizes. Amherst teams won awards for: Best Business Value (Team: Jo-Jo ToAlTrev), Best Pitch (Team: 95% Confident), and Best Use of External Data (Team: The Women in Black). We were thrilled by the turn-out and hard work from Amherst students, and look forward to participation next year. Congratulations to all participants!

- Best Pitch: 95% Confident (Amherst College): Paul Gramieri, Caleb Ki, Levi Lee, Thomas Matthew, and Albert Yu
- Best Business Value: Jo-Jo ToAlTrev (Amherst College): Johannes Ferstad, Jon Jordan, Thomas Savage, Trevor Smith, Alexander Titelbaum
- Best Use of External Data: Women in Black (Amherst College): Muling Si, Jenny Xiao, Qi Xie, Jingwen Zhang

View a calendar of events in the Five College area.