Mathematics and Statistics

News and Events in the Department of Mathematics and Statistics

Thursday, November 19th: Reception and talk

5pm: George D. Olds Reading Room Reception (5th floor Seeley Mudd).  This summer the 5th floor of Seeley Mudd was renovated with new faculty offices and study space. We are having a reception (with non-Val food!) to celebrate this, as well as the unveiling of a plaque dedicating the room to George Olds (professor of math and President of the College in the 1920s.

6pm: Math Colloquium by our own Prof. Harris Daniels (Seeley Mudd 206): Prof. Daniels will talk on "A Brief Introduction to Elliptic Curves".  Elliptic curves are some of the most fascinating and closely studied objects in the history of mathematics. Their origins date all the way back to Diophantus of Alexandria’s Arithmetica, and yet there are exciting aspect and applications of elliptic curves still being discovered today. The goal of this talk will be to introduce elliptic curves in the context of diophantine equations and discuss some of the things that make them so interesting. If time permits, I will try and discuss some open problems concerning elliptic curves.

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

The AMS Leroy P. Steele Prize for Exposition will be awarded to three mathematicians (pictured left to right): 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.

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).

Presented annually, the AMS Steele Prize is one of the highest distinctions in mathematics. The prize will be awarded on Thursday, January 7, 2016, at the Joint Mathematics Meetings in Seattle.  

Math and Stats Alumni panel   

This coming Saturday (November 14) in Seeley Mudd 206 we are pleased to welcome back six of our math major alumni to make presentations about their career paths and how math and stats have been useful to them in that. They will also give you advice on how to make the most of your time at Amherst.

We have the following presenters:

Anna Mullen '09: investment analyst

Benjamin Dickman '08: postdoctoral scholar in math education

Mary Beth Broadbent '10: marketing analyst

Caleb Hayes-Deats '06: assistant US attorney

Anna Haring '10: physical therapist

Jesse Carroll '07: actuarial analyst

They will each give a 10-15 minute presentation with time for questions. The event will start at 2pm with three presentations from 2-3pm, a break for refreshments and informal questions, then three more talks from 3-4pm.

Statistical Analysis of Big Genetics and Genomics Data

CVC colloquium: Monday, November 16, 2015 4:30pm, SMUDD 206, refreshments 4pm in SMUDD 208

Xihong Lin, Department of Biostatistics, Harvard T.H. Chan School of Public Health

Abstract: The human genome project in conjunction with the rapid advance of high throughput technology has transformed the landscape of health science research. The genetic and genomic era provides an unprecedented promise of understanding genetic underpinnings of complex diseases or traits, studying gene-environment interactions, predicting disease risk, and improving prevention and intervention, and advancing precision medicine. A large number of genome-wide association studies conducted in the last ten years have identified over 1,000 common genetic variants that are associated with many complex diseases and traits. Massive targeted, whole exome and whole genome sequencing data as well as different types of -omics data have become rapidly available in the last few years. These massive genetic and genomic data present many exciting opportunities as well as challenges in data analysis and result interpretation. They also call for more interdisciplinary knowledge and research, e.g., in statistics, machine learning, data curation, molecular biology, genetic epidemiology and clinical science. In this talk, I will discuss analysis strategies for some of these challenges, including rare variant analysis of whole-genome sequencing association studies; analysis of multiple phenotypes (pleiotropy), and integrative analysis of different types of genetic and genomic data.

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.

Causal Inference: Identifying Subgroups by their Response to Treatment

Statistics Colloquium: Thursday, October 22 7:30pm, SMUDD 206

Sarah Anoke, Department of Biostatistics, Harvard T.H. Chan School of Public Health

Abstract: Causal inference is a field of statistics focused on measuring a particular type of relationship between two variables. Referring to these two variables as the `treatment’ and the `outcome’, we consider the value that an individual’s outcome would take if the treatment was present, and the value that the individual’s outcome would take if the treatment was absent. The difference in these two potential outcomes is the treatment effect. Every individual has their own individual treatment effect (ITE). But because only one of these two potential outcomes is observable, ITEs cannot be estimated from observed data. To overcome this problem, the average outcome among a group of individuals unexposed to treatment is subtracted from the average outcome among a group of individuals exposed to treatment, yielding an average treatment effect (ATE). It is of interest to identify subgroups for which the subgroup-specific ATE is very different from the overall ATE. Knowing the overall ATE is arguably misleading; we would prefer to know that the drug has no effect within women but a dramatic effect within men. How then, can the data tell us which subgroups respond particularly well or poorly to treatment, without advance knowledge of these subgroups?

Statistical Tools and Challenges for Monitoring Migratory Birds

Statistics Colloquium: Friday, October 30th 2:00pmpm, Amherst College Frost Library 211

Emily Silverman, Statistician, Division of Migratory Bird Management, U.S. Fish & Wildlife Service

Abstract: Federal management of migratory birds began 100 years ago, when the United States signed the 1916 Convention for the Protection of Migratory Birds with Great Britain (for Canada).  These protections were codified in the Migratory Bird Treaty Act (MBTA) of 1918, which now covers over 800 species of birds, and stands as one of the earliest U.S. environmental laws.  The evolution of management approaches since the MBTA has led to the development of monitoring programs and quantitative methods in wildlife science. I will present the history of bird monitoring and statistical methods for population assessment and will discuss new approaches, challenges, and how a solid understanding of statistical concepts is essential for informed management.  Drawing on examples from my own work, I will highlight the interdisciplinary skills needed to operate effectively as a scientist and statistician in a resource management agency.  As our ability to collect information about the natural world expands in an increasingly digital world, the need for innovative, technically-adept wildlife scientists is expanding.

First prize in Undergrad Statistics Class Project Competition

Congratulations to Johannes Ferstad and Thomas Savage (both '15) for winning first prize in the Undergraduate Statistics Project competition for their submission: Large Differences in County-Level Mortality Rates Related to Race and Economic Advantage.  

Mu Sigma Rho Induction

In 2012-2013, Amherst began nominating outstanding students in Statistics to membership in Mu Sigma Rho,the National Statistics Honorary Society. This year, the Department would like to congratulate Johannes Ferstad, Jason Premo, Thomas Savage, Jarvis Sill, and Ningyue (Christina) Wang on their nomination and induction into Mu Sigma Rho. Congratulations!

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

Mathematics, Statistics, and Basketball

Take a look at this NYT article about our women's basketball team, which includes quotes from Megan Robertson ('15), who is majoring in both mathematics and statistics.

Amherst Student Articles About Recent Mathematics Graduates

Daniel Ang

Dvij Bajpai

Megan Robertson

Zalia Rojas

View a calendar of events in the Five College area.