Websites to Build Problem-Solving Skills
Art of Problem Solving
Book Recommendations by Art of Problem Solving Community
Brilliant
Expii
HackerEarth
Project Euler
VTRMC (information and past exams, Virginia Tech Regional Math Competition for undergraduates)
Book Recommendations by Art of Problem Solving Community
Brilliant
Expii
HackerEarth
Project Euler
VTRMC (information and past exams, Virginia Tech Regional Math Competition for undergraduates)
Websites for Finding [Math] Journal Articles
Expository Articles and Videos
Some expository articles I've come across that are helpful introductions to various fields of math
Control Theory
Introduction to Observability
Geometric Analysis
Ancient Solutions to Geometric Flows
PDEs
Obstacle Problems: www.ams.org/journals/notices/202010/rnoti-p1487.pdf
Control Theory
Introduction to Observability
Geometric Analysis
Ancient Solutions to Geometric Flows
PDEs
Obstacle Problems: www.ams.org/journals/notices/202010/rnoti-p1487.pdf
Tools for Writing Math Papers
Some articles and guides I've found that are helpful for various aspects of writing a math paper.
LaTeX
Typesetting Equations Guide
LaTeX
Typesetting Equations Guide
Programming
Dealii Finite Element Library
HackerRank (useful for practicing your programming and problem-solving skills in many languages)
HackerRank (useful for practicing your programming and problem-solving skills in many languages)
Other Cool Websites
Medium (my profile is at this link)
Quanta Magazine
Quora (my profile is at this link)
SIAM University of Tennessee-Knoxville Chapter
Terry Tao's blog
Wisdom of Steven J. Miller (a professor at Williams whom I've worked on projects since I was an undergraduate)
Quanta Magazine
Quora (my profile is at this link)
SIAM University of Tennessee-Knoxville Chapter
Terry Tao's blog
Wisdom of Steven J. Miller (a professor at Williams whom I've worked on projects since I was an undergraduate)
Selected Blog Articles I've written (by category)
Careers and Career Advice
Graduate student interviewing potential faculty
Some tips on math talks: seminar vs. colloquium
The pivot out of engineering: why I went from pursuing two majors to just one
Narrowing Down a Career Path
The [Lack of] Duality Between Academia and Industry
Venturing on the Boundary of Pure and Applied Mathematics
Motivational Mantras: The 3 Xs
Graduate School
A tale of three talks
A rewind before the finish line
Nearing the finish line: an inventory of my sources of stress
Relationship-building with PhD advisors
Lessons learned from writing first thesis paper
The importance of foresight in a research problem
Two years away from a PhD?
Is less really more? Developing a mathematical identity
Course selection as a math Ph.D. student
Working over winter break
The "busy" culture is following me
The oral examination in the big picture
How to prepare for an oral exam
Rambling thoughts: why do a Ph.D?
Why research is all-consuming
How to Study for Math Exams by Writing Practice Problems
Lessons in Retrospect: Two PhD Co-Advisors
The Research Block: Time Management in the Research Phase
Numerical Math: Back to the Basics
Q&A Grad School Experience: Year II, Part II
Q&A Grad School Experience: Year II, Part I
More than just the Free Food: a Mathematics Colloquium
Q&A Grad School Experience: Year I
How I Survived My First Year of Graduate School
Mathematics
A new way to view 1-to-1 correspondences
Tackling coding challenges in constrained optimal control
Pythagorean triples and similar triangles
How to turn non-recursive formulas into recursive formulas
Mathematical Reasoning: Problem Solving Tips
Triangular numbers and complete graphs
Overview of Gamma-Convergence
I got a rock and a probability question along with it (Part 2)
I got a rock and a probability question along with it (Part 1)
Binomial Theorem with Induction
Climbing up the math tree: where to start
Sports betting simulation in the math classroom
Energy Methods: Uniqueness of Solutions to ODEs and PDEs
First and Second Variations
Violating the Majority Criterion
Violating the Condorcet Criterion
Generating Recursive Formulas from Non-Recursive Formulas
Voting Methods and Fairness Principles
An Overview of Selected Discrete Mathematics Texts
Simple vs. Compound Interest: Computations and Misconceptions
Jigsaw Puzzles: Basic Number Theory Saves the Day
Overview of Integral U-Substitutions in One Dimension
A Guide to Inverting Matrices for Analysts
Recursive versus non-recursive formulas and The Fibonacci numbers
A Partial Differential Equations Qualifying Exam Planning Guide
Partial Differential Equations with Evans: An In-Depth Guide
An Overview of Selected Real Analysis Texts
An Overview of Selected Partial Differential Equations Texts
Mentorship
My Experience Developing a Mentorship Regime
Personal Branding
How to recognize and embrace your writing style
Violist in a Jazz Band: Embracing Being an Outlier
Programming and Computer Science
Fibonacci and Lucas Formulas in Python
Zeckendorf Decompositions in Python
Basics of Solving Equations in SymPy
Learning Python on the Fly
Research
What is "Mathematical Alchemy?"
Backtracking in Mathematics Research
Splitting Bandwidth Between Different Areas of Math
Assessing Abandoned Research Projects
Last Minute Checks: Before Submitting That Paper
Brainstorming Mathematical Research Questions and the Trickledown Effect
Study Skills
Studying for Exams: Marathon Mentality (collaborative effort with Karan Mehta)
Teaching
How did restructuring my course go?
Old course, new format
Teaching isn't just standing in front of a classroom and talking about formulas
Teaching pedagogy tool: inverse magic 8-ball
A new philosophy of when to curve exams?
Managing different performance levels in the classroom
Mission statement of quantitative reasoning course
10 Teaching Philosophies for Undergraduate Mathematics Courses
Vulnerability in Teaching: A Note About the Mental Health of Students
Ins and Outs of the Flipped Classroom
Conceptual Crowdsourcing: From the Putnam to College Algebra
Graduate student interviewing potential faculty
Some tips on math talks: seminar vs. colloquium
The pivot out of engineering: why I went from pursuing two majors to just one
Narrowing Down a Career Path
The [Lack of] Duality Between Academia and Industry
Venturing on the Boundary of Pure and Applied Mathematics
Motivational Mantras: The 3 Xs
Graduate School
A tale of three talks
A rewind before the finish line
Nearing the finish line: an inventory of my sources of stress
Relationship-building with PhD advisors
Lessons learned from writing first thesis paper
The importance of foresight in a research problem
Two years away from a PhD?
Is less really more? Developing a mathematical identity
Course selection as a math Ph.D. student
Working over winter break
The "busy" culture is following me
The oral examination in the big picture
How to prepare for an oral exam
Rambling thoughts: why do a Ph.D?
Why research is all-consuming
How to Study for Math Exams by Writing Practice Problems
Lessons in Retrospect: Two PhD Co-Advisors
The Research Block: Time Management in the Research Phase
Numerical Math: Back to the Basics
Q&A Grad School Experience: Year II, Part II
Q&A Grad School Experience: Year II, Part I
More than just the Free Food: a Mathematics Colloquium
Q&A Grad School Experience: Year I
How I Survived My First Year of Graduate School
Mathematics
A new way to view 1-to-1 correspondences
Tackling coding challenges in constrained optimal control
Pythagorean triples and similar triangles
How to turn non-recursive formulas into recursive formulas
Mathematical Reasoning: Problem Solving Tips
Triangular numbers and complete graphs
Overview of Gamma-Convergence
I got a rock and a probability question along with it (Part 2)
I got a rock and a probability question along with it (Part 1)
Binomial Theorem with Induction
Climbing up the math tree: where to start
Sports betting simulation in the math classroom
Energy Methods: Uniqueness of Solutions to ODEs and PDEs
First and Second Variations
Violating the Majority Criterion
Violating the Condorcet Criterion
Generating Recursive Formulas from Non-Recursive Formulas
Voting Methods and Fairness Principles
An Overview of Selected Discrete Mathematics Texts
Simple vs. Compound Interest: Computations and Misconceptions
Jigsaw Puzzles: Basic Number Theory Saves the Day
Overview of Integral U-Substitutions in One Dimension
A Guide to Inverting Matrices for Analysts
Recursive versus non-recursive formulas and The Fibonacci numbers
A Partial Differential Equations Qualifying Exam Planning Guide
Partial Differential Equations with Evans: An In-Depth Guide
An Overview of Selected Real Analysis Texts
An Overview of Selected Partial Differential Equations Texts
Mentorship
My Experience Developing a Mentorship Regime
Personal Branding
How to recognize and embrace your writing style
Violist in a Jazz Band: Embracing Being an Outlier
Programming and Computer Science
Fibonacci and Lucas Formulas in Python
Zeckendorf Decompositions in Python
Basics of Solving Equations in SymPy
Learning Python on the Fly
Research
What is "Mathematical Alchemy?"
Backtracking in Mathematics Research
Splitting Bandwidth Between Different Areas of Math
Assessing Abandoned Research Projects
Last Minute Checks: Before Submitting That Paper
Brainstorming Mathematical Research Questions and the Trickledown Effect
Study Skills
Studying for Exams: Marathon Mentality (collaborative effort with Karan Mehta)
Teaching
How did restructuring my course go?
Old course, new format
Teaching isn't just standing in front of a classroom and talking about formulas
Teaching pedagogy tool: inverse magic 8-ball
A new philosophy of when to curve exams?
Managing different performance levels in the classroom
Mission statement of quantitative reasoning course
10 Teaching Philosophies for Undergraduate Mathematics Courses
Vulnerability in Teaching: A Note About the Mental Health of Students
Ins and Outs of the Flipped Classroom
Conceptual Crowdsourcing: From the Putnam to College Algebra