Why do so many powers of 2 start with “1”?

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384 …

If you liked math in middle school, odds are that maybe you memorized the powers of two. But did you ever think about the fact that so many of them start with the digit “1”? Is there a reason for it? How would you go about stating the problem in more formal mathematical terms?

Dmitry Kleinbock from the Brandeis Math department explains in this Numberphile video:

Be sure to watch the extra content (below) for a slightly more technical, but still completely approachable, additional explanation, where the problem reduces to the so-called equidistribution property of irrational rotations of the unit circle.

Are there other numbers more likely to start with the digit “1”?  It’s pretty easy to convince yourself that there are.

IGERT Summer Institute – July 27 to August 7, 2015

IGERTBrandeis is hosting a two-week summer institute for graduate students in the mathematical sciences from July 27-August 7.  This will combine the annual summer institute of Brandeis’ Geometry and Dynamics IGERT program, with a sequel to the US-India Advanced Studies Institute on thermalization, held two years ago in Bangalore.

Topics:

  • Large deviation theory
  • Statistics of extreme events
  • The large N expansion in statistical and quantum physics
  • Statistical fluid dynamics
  • Quantum information and quantum gravity
  • Thermalization in Quantum Systems

Lecturers:

Sumit Das (U. Kentucky)
Chandan Dasgupta (IISC, Bangalore)
Rajesh Gopakumar (HRI, Allahabad and ICTS)
Alex Maloney (McGill University)
Satya Majumdar (LPTMS, Paris)
Sanjib Sabhapandit (Raman Research Institute, Bangalore)
Peter Weichman (BAE systems)

Organizers:

Albion Lawrence
Bulbul Chakraborty

Registration:

There will be no registration fee, but the venue will have limited capacity, so interested students should register by sending an email to Catherine Broderick (cbroderi@brandeis.edu) by July 4. Please list your affiliation, your year in graduate school, any publications, and the name of your PhD advisor.

Additional information can be found at www.brandeis.edu/igert/.

Ira Gessel Is Honored at May 8 Conference

gesselIra Gessel, the Theodore W. and Evelyn G. Berenson Professor of Mathematics, is retiring from Brandeis University after more than 30 years of teaching and research. During this time, he has made significant contributions to mathematics and the field of combinatorics. Additionally, he has provided invaluable assistance to both colleagues and students.

A conference was held on Friday May 8, 2015 that celebrated Ira’s contributions and featured the following speakers:

Andrew Gainer-Dewar (Hobart and William Smith College)
Kyle Petersen (DePaul University)
Richard Stanley (MIT)
Dennis Stanton (University of Minnesota)
Guoce Xin (Capital Normal University)

The conference was followed by a dinner in his honor.

BrandeisNow provides additional information.

Phi Beta Kappa Elects 51 Division of Science Students

Phi_Beta_Kappa_KeyThe Brandeis chapter of Phi Beta Kappa recently elected 97 new members. Of the 97, at least 51 undergraduate students are majors in the Division of Science (Biochemistry, Biological Physics, Biology, Chemistry, Computer Science, Mathematics, Neuroscience, Physics and Psychology).

Congratulations to the following new Phi Beta Kappa members from the Division of Science:

Biochemistry

Malia Barbra McAvoy
Yehonatan Otzar Meschede-Krasa
Juhee Park
Lior Rozhansky
Hanchen Zhao (double major with Chemistry)

Biological Physics

Abigail Rose Knecht

Biology

Ignatius Ang
Zachary Ian Fried
Jenna Leah Kahane
Ariel Jennifer Katz
Yang Li
Yixuan Liao
Alice Yuan Meng
Khang Vi Nguyen (double major with Chemistry)
Danielle Marie Quintin
Sarah Shin

Chemistry

Khang Vi Nguyen (double major with Biology)
Soobyung Park
Noam Isaac Saper
Hanchen Zhao (double major with Biochemistry)

Computer Science

Kenneth William Foner
Huy Quang Mai
Grady Berry Ward (double major in Mathematics)

Mathematics

Cameron Zhang Fen
Trevor Weiss Kafka
Linda Li
Huy Quang Mai
Stefan Stanojevic
Zhengyang Zhou
Daniel Jackson Kutner (double major in Physics)
Murielle Claire Tugendhaft
Grady Berry Ward (double major in Computer Science)

Neuroscience

Jessica Allison Haley (double major with Psychology)
Kiera Gillian Sarill (double major with Psychology)

 

Physics

Wei Zhong Goh
Stefan Stanojevic
Daniel Jackson Kutner

Psychology

Kyra Jordana Borenstein
Hannah Dvorah Caldwell
Nicole Danielle Cardona
Avi David Cohen
Annie Cui
Jason Michael Desimone
Emily Rose Friedman
Jonathan David Gilman
Clara Emily Gray
Cecilie Gromada
Sarah Jessica Hack-Chabot
Jessica Allison Haley (double major with Neuroscience)
Jessica Lynn Lieberman
Danielle Mizrachi
Emily April Mostow
Linda Sue Nakagawa
Talia Michelle Portal
Jenna Louise Rice
Kiera Gillian Sarill (double major with Neuroscience)
Aliza Naomi Shapiro

See full story on BrandeisNow.

3 Division of Science Undergrads Win 2015 Giumette Academic Achievement Awards

lab_imageThree of five Guimette Academic Achievement Awards were recently given to Division of Science sophomores, according to Meredith Monaghan, Academic Services.  Each award is worth $5000 per semester for the remaining four terms of study.  In order to qualify for consideration, applicants must be sophomores with at least a 3.50 GPA who are not already receiving other merit awards. All 2015 recipients have been named to the Dean’s list in every semester.

The Giumette Academic Achievement Award began in the 2004-05 academic year to recognize currently enrolled sophomores who have distinguished themselves by their outstanding scholarship and academic achievements at Brandeis. The Academic Achievement Awards have been re-named after Peter Giumette, in honor of his twenty years of service to Brandeis as the head of Student Financial Services.

The Division of Science Giumette recipients are:

Zoe Brown ’17 is double majoring in Neuroscience and Psychology and has worked as a research assistant in Professor Arthur Wingfield’s Memory and Cognition Lab. This experience led Zoe to an internship at McLean hospital, where she works in the Bipolar and Schizophrenia division. Zoe will be a Bauer Foundation Summer Undergraduate Research Fellow in the Wingfield lab this summer. After graduating from Brandeis, Zoe plans to enter a Ph.D. program in either neuroscience or psychology and hopes to work in clinical neuropsychology, research, or teaching.

Kahlil Oppenheimer ’17 is double majoring in Computer Science and Mathematics. He serves as both a Teaching Assistant and an Undergraduate Department Representative for the Computer Science department. He has worked as an intern for both Draper Laboratories and HP Vertica, where he has utilized his academic knowledge in a real-world setting. Kahlil will be a software engineering intern at Kayak this summer and hopes to continue to explore both applied and abstract mathematics.

Leah Shapiro ’17 is majoring in both Biological Physics and Mathematics. Leah has been conducting independent research with Professors Jané Kondev (Physics) and Jeff Gelles (Biochemistry), on an interdisciplinary project investigating gene regulation and expression.  This summer Leah will be participating in research at the Yang Laboratory at the University of Michigan.

See story on BrandeisNow.

John Wardle Named Division of Science Head

John Wardle, Division of ScienceSusan Birren, Dean of Arts and Sciences, has announced that John Wardle, Professor of Physics, will be the new Head of the Division of Science.

The following is Susan’s email:

“I am pleased to announce that John Wardle will be the new Head of the Division of Science.  John is an astrophysicist and Professor of Physics and is a former chair of the Physics department.  In his new role he will oversee science-wide programs and initiatives, including the summer undergraduate research program and will work with Division of Science faculty and staff to identify new directions for the division.  I am delighted that he has agreed to take on this role and I hope that you will join with me in welcoming him.

We all owe a debt of gratitude to Eve Marder who, as the first Head of the Division, created and steered many of the priorities of the Division.  During her time as Head, Eve ably represented the Sciences at Brandeis and beyond, worked to make the Summer Undergraduate Science Program a flourishing success, changed the way we trained students and postdocs in the ethical conduct of research, and worked tirelessly to secure funding and recognition for the Sciences.  Thank you Eve!”

Protected by Akismet
Blog with WordPress

Welcome Guest | Login (Brandeis Members Only)