The UCI Graduate Program in Mathematics - … · The UCI Graduate Program in Mathematics ... Class of 2015 Applications:257. ... Applied and Computational Mathematics

Overview Introduction Structure Jumpstart Admission Financial Faculty Students Irvine Outreach The End

The UCI Graduate Program in Mathematics

Patrick Guidotti, Alessandra Pantano

Department of Mathematics, University of California, Irvine

March 2, 2016


The Program

˛ Introduction

˛ Program Structure

˛ Jumpstart

˛ Application Process

˛ Financial Support

˛ Research Faculty

˛ Advice from Students

˛ Life in Irvine


The Program

˛ Introduction


˛ Jumpstart



˛ Research Faculty


˛ Life in Irvine


The Program

˛ Introduction


˛ Jumpstart



˛ Research Faculty


˛ Life in Irvine


The Program

˛ Introduction


˛ Jumpstart



˛ Research Faculty


˛ Life in Irvine


The Program

˛ Introduction


˛ Jumpstart



˛ Research Faculty


˛ Life in Irvine


The Program

˛ Introduction


˛ Jumpstart



˛ Research Faculty


˛ Life in Irvine


The Program

˛ Introduction


˛ Jumpstart



˛ Research Faculty


˛ Life in Irvine


The Program

˛ Introduction


˛ Jumpstart



˛ Research Faculty


˛ Life in Irvine


Why UCI?


Why UCI?

˛ U.S. News and World Report ranks UCI consistently about10th among the top public universities in the nation.

˛ For quality of educational experience and caliber of faculty,UCI repeatedly ranks among the nation’s best publicuniversities, and among the top 50 universities worldwide.

˛ UCI ranks among the top U.S. universities in the number ofundergraduate applications (80,000 for 6,000 spots in 2014).

˛ With almost 31,000 undergraduate and graduate students,1,150 faculty and 9,000 staff, UCI is among the most dynamiccampuses in the University of California system.


Why UCI?






Why UCI?






Why UCI?






Current Graduate Students



˛ Enrolled Students: 106 (86 male, 20 female).

˛ Average time to degree: 5-6 years.

˛ Normative time to degree with support: 6 years.

˛ Maximum time to degree: 7 years.




















Class of 2015

˛ Applications: 257.

˛ PhD Admissions: 22.

˛ PhD students’ origin: 8 CA, 7 out of state, 7 international.

˛ MS Admissions: 5.

˛ MCSB (Math., Comp. & System Biology) Transfers: 2.


Class of 2015







Class of 2015







Class of 2015







Class of 2015







Research

˛ Permament Research Faculty: 36.

˛ Visiting Research Faculty: 16.

˛ Broad range of research fields from abstract to applied.

˛ Excellent scholarly production (latest National ReserachCouncil ranking: 4–16 among 127 institutions).

˛ Ranked #5 by the Chronicle of Higher Education’s FacultyScholarly Productivity Index in 2007.

˛ Highly distinguished faculty: National Academy of Sciences,Academy of Arts and Science, International Prizes, ...


Research








Research








Research








Research








Research








Research Areas

˛ Algebra and Number Theory.

˛ Analysis and PDEs.

˛ Applied and Computational Mathematics.

˛ Ergodic Theory and Dynamical Systems.

˛ Geometry and Topology.

˛ Logic and Foundations.

˛ Mathematical and Computational Biology.

˛ Mathematical Physics.

˛ Probability.


Research Areas









˛ Probability.


Research Areas









˛ Probability.


Research Areas









˛ Probability.


Research Areas









˛ Probability.


Research Areas









˛ Probability.


Research Areas









˛ Probability.


Research Areas









˛ Probability.


Research Areas









˛ Probability.


Introductory Graduate Courses

˛ Introduction to Graduate Analysis.

˛ Introduction to Graduate Algebra.

˛ Real Analysis.

˛ Algebra.

˛ Complex Analysis.

˛ Introduction to Manifolds and Geometry.





˛ Real Analysis.

˛ Algebra.







˛ Real Analysis.

˛ Algebra.







˛ Real Analysis.

˛ Algebra.







˛ Real Analysis.

˛ Algebra.







˛ Real Analysis.

˛ Algebra.




Advanced Graduate Courses

˛ Computational Differential Equations.

˛ Introduction to Numerical Analysis and Scientific Computing.


˛ Algebraic Geometry.

˛ Mathematics of Cryptography.

˛ Topics in Differential Geometry.

˛ Functional Analysis.

˛ Probability.

˛ Stochastic Processes.

˛ Mathematical Logic.

˛ Methods in Applied Math.

˛ Partial Differential Equations.










˛ Probability.














˛ Probability.














˛ Probability.














˛ Probability.














˛ Probability.














˛ Probability.














˛ Probability.














˛ Probability.














˛ Probability.














˛ Probability.














˛ Probability.






Research Seminars

˛ Department Colloquium.

˛ Distinguished Visitor Series.

˛ Analysis.


˛ Differential Geometry.

˛ Dynamical Systems.

˛ Logic and Set Theory.



˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Research Seminars



˛ Analysis.







˛ Nonlinear PDEs.

˛ Number Theory.

˛ Probablity.


Other Regular Seminars

˛ Learning seminars in all research areas.

˛ Math Graduate Students Colloquium.

˛ Graduate Seminar.

˛ Math Undergraduate Students Colloquium.

˛ Career Talks.

˛ Teaching Workshops.

˛ Future Faculty Program.







˛ Career Talks.









˛ Career Talks.









˛ Career Talks.









˛ Career Talks.









˛ Career Talks.









˛ Career Talks.




Master Program

˛ Sometimes a bridge to PhD program.

˛ Residency Requirements: Minimum, full time enrollment (12units) of 3 quarters (average time to degree is 2 years).

˛ Course Requirements: 9 courses in Algebra, Real, andComplex Analysis + 3 electives. Minimum grade of B.

˛ Exam Requirements: 2 MS passes in Algebra, Analysis, orComplex Analysis before start of 2nd year.


Master Program






Master Program






Master Program






PhD Program

A PhD candidate must perform independent, creative research inMathematics

culminating in a dissertation that makes a new andvaluable contribution in the candidade’s area of expertise.


PhD Program

A PhD candidate must perform independent, creative research inMathematics culminating in a dissertation

that makes a new andvaluable contribution in the candidade’s area of expertise.


PhD Program

A PhD candidate must perform independent, creative research inMathematics culminating in a dissertation that makes a new and

valuable contribution in the candidade’s area of expertise.


PhD Program

˛ Coursework requirements.

˛ Two written qualifying exams in Algebra, Real or ComplexAnalysis.

˛ Advancement to Candidacy: Oral Presentation andExamination.

˛ Teaching Experience.

˛ Doctoral Dissertation: Defense and Submission.


PhD Program







PhD Program







PhD Program







PhD Program







Milestones

˛ By start of year 2: Achieve 2 MS level passes in qualifyingexaminations.

˛ By end of year 2: Complete graduate year-long sequences inAlgebra, Real and Complex Analysis, and declare an area ofspecialization.

˛ By start of year 3: Achieve 2 PhD level passes in qualifyingexaminations and choose PhD advisor.

˛ By start of year 4: Advance to PhD Candidacy.

˛ By end of year 7: PhD defense.


Milestones







Milestones







Milestones







Milestones







Best Advice

Never Give Up!


Jumpstart Summer Program

˛ Unofficial compact versions of Introductory Graduate Algebraand Analysis.

˛ 3 weeks, 10 hours per week intensive courses.

˛ Attendance strongly encouraged (but not mandatory).

˛ Early move-in into campus housing available.

˛ Stipend provided (conditional upon attendance).






























Benefits for Students

˛ Increased preparation in Algebra and Analysis.

˛ Better placement in basic graduate sequences.

˛ Shorter average time to degree.

˛ Early bonding with peers and faculty.

˛ Opportunity for self-assessment.

˛ Smoother transition into graduate life.










































Students’ Feedback

˛ “Jumpstart allowed me to not only get back in the swing oflearning mathematics after a long and involved move, but alsoallowed me to become acquainted with my cohorts, futureinstructors, and the specific material to be covered in futurecoursework.”

˛ “Jumpstart courses provide a good review of advancedundergraduate material and help students transition intograduate level courses.”

˛ “I think Jumpstart is an excellent beginning that not onlyprepares students for Fall course but allows them to meet andbecome comfortable with other students and professors.”












Summer Undergraduate Research Fellowship

?THINKING ABOUT A PHD

$3,000 Research Stipend & Free Summer Housing

Apply for a summer research fellowship at the University of California, Irvine

CONTACT: Daniel Fabrega | [email protected] | 949.824.8730

Summer Undergraduate Research Fellowship (SURF)The UC Irvine Summer Undergraduate Research Fellowship program offers upper division undergraduate, and continuing master’s students with outstanding academic potential the opportunity to work closely with faculty mentors on research projects. The program is designed for students who plan to pursue a Ph.D., especially at UC Irvine. Research opportunities are available in all academic fields.

The 8 week SURF experience includes:

• Faculty mentored research

• Intensive graduate preparation workshop series

• GRE preparation course and exam

• Research presentation experience

• Dedicated graduate student peer mentorship

• On-campus housing

• Outstanding southern California location

APPLY ONLINE: www.grad.uci.edu

APPLICATION AVAILABLE: December 2015

DEADLINE TO APPLY: February 3, 2016

www.grad.uci.edu

2016 Program Dates: June 19-August 12


Application Material

˛ Official Undergraduate Transcripts (sent by Registrar’s office):Minimum GPA 3.0.

˛ 3 letters of recommendation.

˛ Statement of purpose.

˛ UCI graduate application (deadline: January 15, 2016).

˛ General and Subject GRE scores (at most 5 years old).

˛ TOEFL (international students whose primary language is notEnglish).

˛ Fee $90 US citizen/permanent residents, $110 for others. Canbe waived for domestic students with strong financial need.
























































Advice to Applicants

˛ Prepare your application early and make sure it is complete.

˛ Be proactive. Check the math department website and thegraduate division website. Contact faculty members in yourinterested area of research.

˛ Take the GRE exams early and prepare well (especially forGRE Subject).

˛ Take honors level courses in abstract algebra and real analysis.

˛ Consider obtaining a MS before applying.

˛ Develop independent work habits. Challenge yourself withhard problems.










































Ideal Applicant

˛ Strong mathematical background, especially in algebra andanalysis.

˛ Strong work ethics (did you shy away from hard courses?)

˛ Great passion for mathematics.

˛ Inquisitiveness and curiosity.

˛ Strong motivation and resilience.

˛ Total commitment for a 5 years period.

˛ Intellectual Independence.


Ideal Applicant









Ideal Applicant









Ideal Applicant









Ideal Applicant









Ideal Applicant









Ideal Applicant









Successful Student

˛ Proactive and independent.

˛ Well organized

˛ Mindful of deadlines.

˛ In touch with faculty.

˛ Open to advice.

˛ Able to cope with frustration.

˛ Driven.


Successful Student


˛ Well organized



˛ Open to advice.


˛ Driven.


Successful Student


˛ Well organized



˛ Open to advice.


˛ Driven.


Successful Student


˛ Well organized



˛ Open to advice.


˛ Driven.


Successful Student


˛ Well organized



˛ Open to advice.


˛ Driven.


Successful Student


˛ Well organized



˛ Open to advice.


˛ Driven.


Successful Student


˛ Well organized



˛ Open to advice.


˛ Driven.


MS Program

˛ MS students are self supported. The annual fee is $16k for CAresidents and $31k for non-residents. Domestic out-of-statestudents must become CA residents during the first year.

˛ TAships are occasionally available to MS students.


MS Program

˛ MS students are self supported. The annual fee is $16k for CAresidents and $31k for non-residents. Domestic out-of-statestudents must become CA residents during the first year.

˛ TAships are occasionally available to MS students.


PhD Program

˛ Admitted students are guaranteed 5 years of support throughresearch and teaching assistantships, graderships, andfellowships, provided they remain in good standing.

˛ If satisfactory progress is being made, the Department extendssupport to year 6.

˛ No support is provided during year 7.

˛ Campus housing is affordable and TAships pay a sufficientsalary for students not to worry about money.


PhD Program






PhD Program






PhD Program






Teaching Assistantships

˛ During academic year, graduate student employment iscapped at 50%.

˛ A 50% appointment consists of 2 discussion sections and timespent in the tutoring center.

˛ Discussions meet twice a week for one hour.

˛ Effective workload: About 10 hrs/week per discussion (2 hrsdiscussion, 1 office hr, 5 hrs gading/preparation, 2-4 hrs in thetutoring center).

˛ Union regulations mandate that a 50% TA can work for nomore than 220 hrs/quarter.






























Teaching Assistantships – Continued

˛ Minimum 3.1 GPA is a condition for TA eligibility.

˛ TA must be exhibit satisfactory progress towards degreeobjectives.

˛ Mandatory attendance of TA training by the Department (Fallquarter).

˛ International students must pass TOEFL iBT (Test of SpokenEnglish) administered by E.T.S. or the UCI campus SPEAK orTOEP exams to become eligible.




















Fellowships and Summer Support

˛ Internal and Extramural Fellowships.Graduate Division Website

˛ Non-resident tuition ($15k) covered during first year. Studentsare expected to obtain CA-residency by begin of year 2.

˛ Instructor/TA/Grader positions available during summer.

http://www.grad.uci.edu/funding/fellowships-awards/














Algebra, Number Theory, and Algebraic Geometry

Coding theory, cryptography, elliptic curves, Abelian varieties,Iwasawa theory, noncommutative geometry, special value of

L-functions, varieties over finite fields.

V. Baranovsky K. Rubin A. Silverberg D. Wan N. Kaplan


Analysis and Partial Differential Equations

Several complex variables, harmonic analysis, critical point theory,dynamical systems, Schrodinger operators, nonlinear elliptic and

parabolic type equations.

P. Guidotti H. Hezari K. Krupchyk S. Li M. Schechter Y. Yu


Applied and Computational Mathematics

Evolution of languages, numerical analysis and scientificcomputing, free boundary problems, hearing, inverse problems,imaging and image processing, materials, math biology, math

finance, multiscale analysis, nonlinear PDEs, wave propagation,stochastic differential equations.

L. Chen G. Enciso A. Figotin P. Guidotti N. Komarova J. Lowengrub

Q. Nie K. Solna F. Wan J. Xin Y. Yu H. Zhao


Ergodic Theory and Dynamical Systems

Ergodic theory; topological, smooth, and Hamiltonian dynamics,and applications to logic, celestial mechanics, math physics,

economics, and social sciences.

M. Foreman A. Gorodetski D. Saari


Geometry and Low Dimensional Topology

Geometric PDEs, Differential Geometry, mirror symmetry, smooth4-manifolds, symplectic contact topology and geometry, relativity.

Z. Lu R. Schoen J. Streets L.-S. Tseng X. Zhang


Logic and Foundations

Set and model theory with emphasis on forcing, large cardinals,fine structure theory, cardinal combinatorics.

M. Foreman M. Zeman


Mathematical and Computational Biology

Modeling in biology and medicine including stem cells, cancer,genetics, and cell biology.

J. Allard G. Enciso N. Komarova J. Lowengrub Q. Nie F. Wan J. Xin


Mathematical Physics

Electromagnetism, complex media, statistical mechanics, solidstate physics.

A. Figotin S. Jitomirskaya A. Klein M. Schechter


Probability

Various applications of probability theory.

M. Cranston K. Solna J. Xin


Some Former Students

William Yessen

˛ Attended a community college for 3 years (on and off, workingat various jobs in between).

˛ Transferred to CSUN (California State University Northridge)as computer science major.

˛ BA in math from CSUN.

˛ Graduated from UCI’s PhD program in Mathematics with athesis in Mathematical Physics in Spring 2013.

˛ Current employment: Postdoc at Rice University on a NSFPostdoctoral Fellowship.



William Yessen








William Yessen








William Yessen








William Yessen








Cynthia Northrup

˛ BA in Mathematics from California State UniversityNorthridge.

˛ Graduated from UCI’s PhD program in Mathematics with athesis on Mathematical Foundations and Set Theory in 2015.

˛ Current Employment: Teaching Tenure Track AssistantProfessor at Bellevue College, Seattle.



Cynthia Northrup






Cynthia Northrup






Jeremy Pecharich

˛ BA and MS in Mathematics from the University of Utah.

˛ Graduated from UCI’s PhD program in Mathematics with athesis on Algebraic Geometry in 2011.

˛ Current Employment: Software Systems Engineer at NASA’sJPL–Jet Propulsion Laboratory, Pasadena.



Jeremy Pecharich






Jeremy Pecharich






Katie Rainey

˛ BA and MS in Mathematics from UC Berkeley.

˛ Graduated from UCI’s PhD program in Mathematics with athesis on Image Processing in 2010.

˛ Current Employment: Research Scientist at US Navy’sSPAWAR System Center Pacific, San Diego.



Katie Rainey






Katie Rainey






Jeremy Ovadia

˛ BS in Mathematics from UCI.

˛ Graduated from UCI’s PhD program in Mathematics with athesis on Computational Math Biology in 2013.

˛ Current Employment: Investment Research Associate atWilshire Associates, Santa Monica.



Jeremy Ovadia






Jeremy Ovadia






Jacquelyn Rische

˛ BA in Mathematics from Whittier College.

˛ Graduated from UCI’s PhD program in Mathematics with athesis on Mathematical Modeling of Learning in 2014.

˛ Current Employment: Visiting Assistant Professor at Hobartand William Smith Colleges, Geneva, NY.



Jacquelyn Rische






Jacquelyn Rische






Dongyong Wang

˛ BS in Mathematics from Tsinghua University, Beijing.

˛ Graduated from UCI’s PhD program in Mathematics with athesis in Numerical Analysis in 2013.

˛ Current Employment: Technical Developer at Google,Sunnyvale.



Dongyong Wang






Dongyong Wang






Natalia Kiseleva-Karasik

˛ BS in Mathematics from Petrozavodsk State University,Russian Federation.

˛ Graduated from UCI’s PhD program in Mathematics with athesis in Probability in 2013.

˛ Current Employment: Business Systems Analysts at MitchellInternational, Orange County.















Fei He

˛ BS in Applied Mathematics from UCLA.

˛ Graduated from UCI’s PhD program in Mathematics with athesis in Geometric Analysis in 2014.

˛ Current Employment: Dunham Jackson Assistant Professor atUniversity of Minnesota, Twin Cities.



Fei He






Fei He






Adam Larios

˛ BS and MS in Mathematics from Western WashingtonUniversity.

˛ Graduated from UCI’s PhD program in Mathematics with athesis in Fluid Dynamics in 2011.

˛ Current Employment: Assistant Professor at University ofNebraska, Lincoln.



Adam Larios






Adam Larios






Wei-Kuo Chen

˛ BS in Mathematics from National Central University.


˛ Current Employment: Assistant Professor at University ofMinnesota, Twin Cities.



Wei-Kuo Chen






Wei-Kuo Chen





Advice from Current Students

˛ Set aside time to study for your math GRE subject test. It isharder than you expect.

˛ Take some honors level classes in real analysis and abstractalgebra, perhaps some introductory graduate level classes.Taking the standard undergraduate algebra and analysiscourses does not prepare you well enough for the graduateexams.

˛ When you are admitted to UCI (or another institution), govisit. Talk to potential research advisors, but also to studentsto get some insights.

˛ The first two years are the most stressful. Find somethingthat helps you go through (so you do not focus constantly onthe exams): a research problem to look forward to, anextracurricular activity, some outreach.





















˛ Networking is extremely important. Be proactive and createyou own support structure. There are several ways to meetfriends: attend the Jumpstart program, participate in alearning seminar, play sports.

˛ Talk to older students. Find out how often a professor meetswith the research group, and how supportive each advisor is.Sports and learning seminars are great ways to meet olderstudents.

˛ You are expected to be an independent learner, to the pointthat you can pretty much check out a book from the libraryand learn it on your own. Start practicing.

˛ The Jumpstart program is fabulous. By the time it ends, newgraduate students have already clustered in groups of friends.If you skip the Jumpstart, it may be harder to adjust .




















Location


Location

˛ 40 miles south of LA.

˛ 90 miles north from San Diego.

˛ Minutes from the ocean.

˛ You can ski and surf in the same day!

˛ Rated one of the Top 25 cities to live in the US.

˛ Excellent weather all year long.

˛ Rated safest city in US 10 years in a row.


Location









Location









Location









Location









Location









Location









Location


Sports

˛ There are intramural leagues for several sports, organized bythe UCI recreation center.

˛ The math department has its own team: The matheletes. Itwas created 8 years ago as a department team buildingexercise.

˛ The matheletes typically play flag football in fall, soccer inwinter, and softball in spring.

˛ Excellent way to meet students and postdocs.

˛ Undergrads, grads, staff, and faculty can form teams toparticipate in friendly competitions throughout the year.


Sports







Sports







Sports







Sports







Housing

˛ Campus housing is very affordable (with a room-mate) andvery conveniently located near campus.

˛ PhD students receive “guaranteed housing” for first 5 years, ifapplying prior to the deadline of May 1st. MS and PhDstudents who miss the deadline are placed on a prioritywaitlist.


Housing

˛ Campus housing is very affordable (with a room-mate) andvery conveniently located near campus.

˛ PhD students receive “guaranteed housing” for first 5 years, ifapplying prior to the deadline of May 1st. MS and PhDstudents who miss the deadline are placed on a prioritywaitlist.


Outreach Activities

˛ Mathcounts: The Department hosts regional and state eventsof this national competition for middle schoolers from SantaAna, CA.

˛ Math CEO: Weekly sessions of mathematical exploration fordisadvantaged middle school students.

˛ Math Club: Building a strong mathematics community at UCI.

˛ Math Circle: A tuition-free annual enrichment program opento all middle and high school students in Orange County.


Outreach Activities






Outreach Activities






Outreach Activities






The End

For more information visit

www.math.uci.edu

or contact us

[email protected]@math.uci.edu


The End

For more information visit

www.math.uci.edu

or contact us

[email protected]@math.uci.edu

Documents

The UCI Graduate Program in Mathematics - … · The UCI Graduate Program in Mathematics ... Class of 2015 Applications:257. ... Applied and Computational Mathematics