Wednesday, October 4, 2017
Nishant Malik, Dartmouth College
Can Friendship Triangles Control the Spread of Epidemics and Opinions?
Abstract: Usage of concepts from social network analysis has become very prevalent in mathematical modeling of social and biological contagion dynamics. A distinctive structural characteristic of social networks is the existence of triangles of connected nodes at a higher frequency than expected at random. Transitivity is the numerical measure of this characteristic. Whereas the influence of transitivity on a variety of contagion dynamics has been previously explored, existing models of coevolving network systems typically use rewiring rules that randomize away this important property, raising questions about their applicability. In contrast, I will introduce new modified models for the SIS epidemics and opinion formation on coevolving networks, incorporating innovative rewiring rules which reinforce transitivity. Hence, providing a unique opportunity to study various effects of transitivity on the dynamics of coevolving network systems. Using numerical simulations, I will identify and examine an extensive set of dynamical features in the new models. Furthermore, I will present a derivation of approximate master equations (AME) for the SIS model and show that for some parameter settings, the AME accurately traces the temporal evolution of the system. These methods and results may not only be useful in studying coevolving network systems but also in developing ideas for controlling dynamics on networks.
4:30 pm, Seeley Mudd 206 with refreshments in Seeley Mudd 208 at 4:00 pm.
Friday, October 6, 2017
Information session for Statistics and Biostatistics graduate programs
Come join us for an informal information session for students interested in graduate programs in statistics and biostatistics. Faculty and students from programs including UMass/Amherst, the University of Connecticut, and Yale University will be on hand to speak briefly about their programs then answer questions individually.
A light lunch will be served
Statistics Professor Nick Horton Honored for his Contributions to the Statistics Community
Prof Nick Horton is the 2017 recipient of the annual Lagakos Distinguished Alumni Award, given by the Department of Biostatistics at Harvard University. The citation of the award describes his impactful leadership and service to the profession, his distinguished contributions to statistical methodology and computing, and his commitments to teaching and statistical education.
Nick also recently received the prestigious Founders Award, presented at the 2017 Joint Statistical Meetings (JSM) in Baltimore. The other three awardees are Wendy Martinez, Director of the Mathematical Statistics Center, Bureau of Labor Statistics; Jane Pendergast, Professor, Department of Biostatistics and Bioinformatics, Duke University School of Medicine; and John Eltinge, Assistant Director for Research & Methodology, U.S. Census Bureau. The citation read, “The ASA is extremely pleased to present our highest honor to Wendy, Jane, Nick, and John. They have dedicated their careers to the field of statistics and demonstrated impressively high standards that have helped strengthen the experiences of colleagues throughout the association’s membership and beyond. From teaching future generations of critical thinkers the theories and applications that can lead to new scientific discoveries, to calculating and analyzing government data in robust, meaningful and accurate ways, to advancing research that will lead to more effective healthcare, they each have left a tremendous footprint in the scientific discipline that is statistics,” said ASA President Barry Nussbaum.
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 A MOST weeks
Past News and Events can be found in the Archive.
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.