Applying to PhD programs for Mathematics



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Applying to PhD programs for Mathematics James Gill University of California jamesag@uci.edu September 23, 2014 James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 1 / 22

Outline 1 Introduction About me What goes into an application 2 My three attempts Letters of Recommendation Undergraduate Research Undergraduate Math Courses GRE Exams Programs to which I Applied 3 Potential Advice - Bolstering Your Application Coursework Exams Letters of Recommendation Personal Statement Undergraduate Career James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 2 / 22

Who am I? James Gill Graduated from USD in 2011 Attended Budapest Semesters in Mathematics 3 rd year graduate student at UC Irvine Applied to PhD programs THREE times! Been rejected: quite a bit Been accepted: also, quite a bit! Attended 2 different PhD programs James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 3 / 22

Application Materials You will need: a. Letters of recommendation b. Undergraduate research c. Undergraduate coursework Undergraduate math texts d. Math Subject GRE exam score General GRE exam scores e. Personal statement f. Résumé James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 4 / 22

Outline 1 Introduction About me What goes into an application 2 My three attempts Letters of Recommendation Undergraduate Research Undergraduate Math Courses GRE Exams Programs to which I Applied 3 Potential Advice - Bolstering Your Application Coursework Exams Letters of Recommendation Personal Statement Undergraduate Career James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 5 / 22

Letters of Recommendation 1 st Attempt 1. Lukasz Pruski 2. Stacy Langton 3. Greg Severn - Physics professor 2 nd Attempt 1. Lukasz Pruski 2. Stacy Langton 3. Attila Sali - Budapest professor 3 rd Attempt 1. Lukasz Pruski 2. Attila Sali 3. Nick Proudfoot - Oregon professor Note: I believe a professor that knows you very well, a professor that studies your desired area, and a professor that is highly regarded is a good mix. James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 6 / 22

Undergraduate Research S.U.R.E - Summer Undergraduate Research Experience Summer program through USD. SURE program website Participated after Sophomore year - with Dr. Pruski Studied stochastic differential equations with Brownian motion to model long term stock indices. Main Takeaways Experience with C-programming; self-taught learning; reading/writing about research; poster presentation at conference. James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 7 / 22

Undergraduate Research R.I.P.S - Research in Industrial Projects for Students Summer program through UCLA/Frei University Berlin. RIPS program website Participated after Junior year - in Berlin Studied Markov chains for the purpose of evaluating/finding clusters of nodes in graphs Wanted to identify important connecting nodes Funded by IBM in an effort to develop efficient drugs. Main Takeaways Learned MATLAB, Beamer/L A TEX; experience studying in new country and on a team; lots of graph theory/linear algebra! James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 8 / 22

Undergraduate Math Courses University of San Diego Logic for Math - Velo Calculus III - Pruski Linear Algebra - McGrath ODEs - Pruski PDEs - Pruski Advanced Analysis (Differential Real Analysis) - Hoffoss Advanced Analysis II (Integral/n-dimensional Real Analysis) - Langton Differential Geometry - Langton Number Theorey - Gourak History of Math (writing course: Galois Theory) - Langton Independent Study (on Fundamental Group ) - Langton James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 9 / 22

Undergraduate Math Courses Budapest Semesters in Mathematics Abstract Algebra Combinatorics Combinatorial Optimization Complex Analysis Quick Tangent Highly, highly recommend Budapest Semesters in Mathematics! BSM Link Study abroad! Somewhere unique Surrounded by people also wanting to do lots of math James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 10 / 22

GRE Exams Math Subject Exam General Exam Date Score (/900) Percent Below Nov. 2011 670 53% Oct. 2012 750 71% Exam Score New Score Percent Below Verbal Reasoning 490/800 152 54% Quantitative Reasoning 800/800 166 94% Analytical Writing 4.0/6.0 -- 56% James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 11 / 22

Programs of Choice 1 st Attempt 1. UC San Diego 2. University of Michigan 3. UC Berkeley 2 nd Attempt 1. University of South Carolina 2. Northeastern University 3. George Washington University 4. Oregon State University 5. University of Oregon 3 rd Attempt 1. UC San Diego 2. Rutgers University 3. Brandeis University 4. UC Irvine James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 12 / 22

Programs of Choice: Reflections 1 st Attempt Accepted to exactly 0 programs! Applied to only programs ranked in top 20 Wasn t overly motivated US New Wanted to try working in a corporate environment Was the right way to go for me at the time! James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 13 / 22

Programs of Choice: Reflections 2 nd Attempt Accepted to ALL programs! Applied only to programs ranked below 50 Made two major changes 1. Studied very hard for GRE Subject 2. Budapest semesters letter writer Chose Oregon based upon campus visit US New James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 14 / 22

Programs of Choice: Reflections 3 rd Attempt Accepted to one program Feel I should have been accepted to all Applied to programs in 15-40 range Probably hindered by transferring Visited Irvine, decided to switch. US New James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 15 / 22

Outline 1 Introduction About me What goes into an application 2 My three attempts Letters of Recommendation Undergraduate Research Undergraduate Math Courses GRE Exams Programs to which I Applied 3 Potential Advice - Bolstering Your Application Coursework Exams Letters of Recommendation Personal Statement Undergraduate Career James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 16 / 22

Coursework Overview USD is a small school and department Look for programs with low-level graduate courses Take as much as possible in undergrad If need be, try taking a course or two at UCSD Highly recommend Budapest Semesters! James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 17 / 22

Exams Overview GRE Subject score matters... a lot GRE general test, doesn t seem to matter that much Can take the GRE as many times as you want, doesn t hurt you. James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 18 / 22

Letters Overview Definitely want three! Take advantage of small school to build relationships My thoughts: 1. Someone that knows you well, worked with you a lot 2. Someone that works in your desired area of specialization 3. Some that is highly regarded within the mathematics community. If you can get all three in all three, that s the best possible scenario! Try to make sure each professor has 1 of these qualities. And try to make sure the compilation of your letters satisfies all three. James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 19 / 22

Personal Statement Overview Difficult to say what schools are looking for My outline: 1. Start with reasons I am inspired by math, leading into my recent experiences 2. 3-4 paragraphs outlining my undergraduate mathematics career 3. Demonstrate knowledge of professors and their work within the given department Have people proof-read for errors, not necessarily content Don t stress so much about this part James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 20 / 22

Take advantage of every opportunity Overview You aren t at a big name school Seek out clubs, activities (i.e. Math Club, Math Modeling Club, Putnam Exams) Ask about REU s, they want small school students Seek out international programs: Budapest, REUs abroad, St. Petersburg Do independent studies or go to UCSD Most importantly, take as much math as possible! James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 21 / 22

The End Applying to PhD programs for Mathematics James Gill University of California jamesag@uci.edu September 23, 2014 James Gill (UC Irvine) The Goldilocks Approach September 23, 2014 22 / 22