Math 501: AIM Student
Seminar Course Winter 2017

Meetings: East Hall
3088, Fridays, 1:10-2 p.m.

Instructor: Prof.
Silas Alben

Email: alben at
umich.edu

Office: East Hall
4858, tel. 734-647-5518

We will have four main activities this year:

1. Interviews with AIM Research seminar speakers.

2. Faculty Research Portraits.

3. Lectures, research
advice, and career advice from me and others.

4. 15-minute presentations
by you on a potential research topic or area. Could be work by a U of M. professor, or from another source. Should be computer slides, e.g. made using Powerpoint (.ppt), Latex package Beamer (.pdf), or Keynote (.pdf). One possible talk structure:

- Background (e.g. history of the area, with references to papers)
- Key concepts (definitions, equations, parameters, etc.) with examples
- Recent results from the literature (theoretical, computational, experimental, etc., with references to papers)
- Open directions or questions (optional: only if you know of them)

**Schedule: **

Jan. 6: Interview with Dr. Olivia Walch and *Care and Feeding of Advisors*

Jan. 13: Faculty Research Portrait: Prof. Anna Gilbert

Jan. 20: *Time Management* (Pausch)

Jan. 27: Interview with Dr. Paramsothy Jayakumar, US Army TARDEC

Feb 3, 2017: Interview with Prof. Xiaofan Li, Finding a Research Topic (Irwin)

Feb 10, 2017: Faculty Portrait: Silas Alben;Finding a Research Topic (Reis)

Feb 17, 2017: How to write a great research paper (Simon Peyton Jones)

Feb 24, 2017: *Whitesides group: Writing a Paper;* Interdisciplinary research (S. Gilbert)

March 3: Winter Break

March 10, 2017: Recruitment day and AIM student panel

March 17, 2017: Interview with Prof. Ekaterina Merkurjev, Interdisciplinary research (Keener)

March 24, 2017: Science at Liberal Arts colleges (Grief), Time management (Anding)

March 31, 2017: Student presentations (Ursula Trigos, Jenia Rousseva); Mathematical Sciences in 2025 (Green)

April 7, 2017: Interview with Dr. David Gorisch, U.S. Army; Student presentations (Zhaoming Zhang, Tianchen Zhao).

April 14, 2017: Student presentations (David Guerra, Alex Kapiamba, John Wakefield)

Note: This term you
are required to attend all but four of the AIM Research Seminars,
Fridays 3:10-4 p.m.

(You are required to attend all of the
meetings of Math 501, however).

**References:**

History and Culture of Applied Math

History and Mission of the AIM Program at Michigan

*The
Flowering of Applied Mathematics in America* by Peter Lax

*Education of
Applied Mathematicians* by C.C. Lin *
On
the role of applied mathematics* by C.C Lin

An Applied Mathematician's Apology

An Applied Mathematician's Apology

SIAM Review Archives

SIAM News

**General
Research and Career Advice**

Career
Advice from Terry Tao and others

*How
to to get a Ph.D. in mathematics in a timely fashion* by Sara C.
Billey

AMS
blogs on graduate school

*How
to Survive as a [CS] Graduate Student* slides by Pereira et al.

*Ten
things I did wrong in graduate school* slides by Greg Morrisett

Career
advice from *Science* magazine

Career
toolkit from *Nature* magazine

Advice
from the *Chronicle of Higher Education*

**Specific ****Research and Career ****Advice**

*How to
Choose a Research Topic* from Researcher's Blog

*Finding
a Research Topic* slides by Janie Irwin (CSE)

*In
Praise of Lectures* by T.W. Korner

Advice
on Attending Math Conferences by Katharine Ott

*I've
passed my quals, now what?* by Mark Tomforde

*The
Care and Feeding of Advisors* slides by Stephen Chong

Robert
Krasny's list of *Fellowships, Workshops, etc. for students and
postdocs*

Caltech list of fellowships for international students

Michigan list of fellowships for international students

NSF GRFP advice from panelists

NSF Graduate Research Fellowhip advice from Alex Lang

**Procrastination,
Perfectionism, and Time Management**

*Overcoming
Procrastination and Writer's Block* from U. Chicago

*Overcoming
Procrastination* slides from London School of Economics

*Time
Management* youtube video by Randy Pausch

*Time
Management* slides by Randy Pausch

*Time
Management* slides from Iowa State

*Getting
Past Perfectionism* from Princeton

(Thesis)
Writing strategy slides by Alexis Shotwell

**Finding a Postdoc and Funding**

*Finding
a postdoctoral position in mathematics* by Lauren Williams

*Tips
for writing a research proposal* by Katrin Wehrheim

SIAM:
Finding a postdoc

**Giving Talks**

*The
Craft of Scientific Presentations* slides

*Mathematicians
Must Speak* slides by Gerda de Vries

*How
to Give a Talk* slides by Ramesh Raskar**
**Tips
on Giving Math Talks by Jordan Ellenberg

Technically Speaking videos from Denison University

Presentation Advice by Joseph Gallian

**Writing Papers**

*How
to write a paper* slides - MESA

*How
to write a great research paper* slides by Simon Peyton Jones
(more for conference papers but many good ideas for
journal papers)

Whitesides'
Group: *Writing a Paper*

**Literature search**

Web of Science
Basics

MathSciNet Tutorial

Using
Google Scholar

**Some Applied Math topics**

Trefethen's
list of 13 classic papers in numerical analysis (see also the longer
list, item [3] in this link)

Cornell
CS 722 / Math 726: Classic Papers in Applied Math

*The
Principle of Similitude* by Lord Rayleigh

Dimensional
Analysis notes by Douglas Hundley

*The Princeton
Companion to Applied Mathematics*, Ed. Nicholas J. Higham

*The
Princeton Companion to Mathematics*, see Part VII. The
Influence of Mathematics

**Fall 2016 Schedule: **

Sep. 9: Class canceled due to power outage

Sep. 16: Interview with Prof. Robert Marangell, Introduction to AIM

Sep. 23: Interview with Prof. Andrew Belmonte, 2nd years' experiences

Sep. 30: Interview with Prof. Jean-Luc Thiffeault, Fellowships

Oct. 7: Faculty Portrait: Prof. Sergey Nadtochiy

Oct. 14: Student talks: Nathan Vaughn, Hai Zhu

Oct. 21: Faculty Portrait: Prof. Indika Rajapakse

Oct. 28: Faculty Portrait: Prof. Annette Ostling, Eduardo Corona interview

Nov. 4: Faculty Portrait: Profs. John Schotland and Mackillo Kira

Nov. 11: Student talks: Fanchen He, Yuchen Liao, Ny Wang

Nov. 18: Faculty Portrait: Prof. Peter Miller

Nov. 25: Thanksgiving break

Dec. 2: Student talk: Ryan Sandberg, "What is Applied Math?"

Dec. 9: Faculty Portrait: Prof. Johannes Muhle-Karbe

**Winter 2016 Schedule:
**

Jan. 8: Faculty Portrait: Shravan Veerapaneni

Jan. 15: Time Management (Pausch)

Jan. 22: Care and Feeding of Advisors (Chong)

Jan. 29: Finding a Research Topic (Irwin)

Feb. 5: Faculty Portrait: Silas Alben

Feb. 12:

Feb. 19: How to write a great research paper (Simon Peyton Jones)

Feb. 26: Faculty Portrait: John Schotland; interdisciplinary research

March 4: Winter Break

March 11: Recruitment day and AIM student panel

March 18: Carolyn Kuranz (AOSS)

March 25: Interdisciplinary research (Gilbert, Keener, Nat. Acad. Sci.)

April 1: Student talks (Alexander Zaitzeff, Leighton Wilson)

April 8: Student talks (William Clark, Jia Guo)

April 15: Student talks (Jonathan Guzman, Jay Barraza, Anthony Della Pella)

**Fall 2015 Schedule:**

Sept. 11: Introduction, What is Applied Math?

Sept. 18:
Warm-up Talk: Henry Jacobs, U. Michigan; NSF GRFP; Group photo

Sept. 25: Warm-up Talk: Tom Trogdon, NYU

Oct. 2: Michael Alley, Craft of Scient. Present.; Warm-up Talk: Saverio Spagnolie, U.
Wisconsin

Oct. 9: Faculty Portrait: Charlie Doering

Oct. 16: Faculty Portrait: Roman Vershynin

Oct. 23: Craft of Scient. Present. Part 2; Math talks (de Vries)

Oct. 30: Math talks cont'd (de Vries); Warm-up Talk: Ling Xu, U. Michigan

Nov. 6: Math talks cont'd (de Vries, me); General grad school advice (Morrisett)

Nov. 13:
DOE CSGF; General grad school advice (Morrisett, Chong)

Nov. 20:
Student talks (Matt Olson, Amy Nesky, Huajie Qian)

Dec. 4: Student talks (Harry Li, Jack Kelly, Adrian Carballeira)

Dec. 11:
Student talks (Amanda Bower, Hao Wu)