I am a graduate student in mathematics, PhD Candidate, and graduate teaching assistant with Teaching Associate status at Penn State.
Personal Information
My co-advisors at Penn State are Dr. Linda Westrick and Dr. Jan Reimann.
My LinkedIn profile.
My GitHub profile.
My teaching webpage.
Always working on my second and third languages: Español and Português!
You may know me by my old name: Raymond Friend. My last name has changed to Tana.
Roles
- I have taught various courses at Penn State, including MATH 033: Mathematics for Sustainability (I'm quoted in the linked article), MATH 230: Calculus and Vector Analysis, and MATH 486: Mathematical Theory of Games. More information below.
- I have served as the Graduate Chair on the Eberly College of Science Sustainability Council for the last four full academic years.
- I also served as the leader for the Carbon Neutral Working Group with the Student Sustainability Advisory Council (SSAC) for two academic years. Here is a presentation of our final recommendations from Fall 2021. I was interviewed about my sustainability advocacy by Ava Klink for SPARK.
- I am a member of the Penn State Logic Group headed by Jan Reimann and Linda Westrick. We meet weekly for 1.5 hours in our Logic Seminar to talk about current topics and have an internal or external speaker present.
- I am a co-founding member of the Penn State Quantum Information and Computation Club.
Projects
- My main thread of research focuses on effective fractal dimension and applications to fractal geometry. Conditional complexity, how effective dimension behaves under geometric transformations, and information extraction.
- I work with Dr. Jan Reimann and other graduate students in creating a new, open-source suite of projects to make math education at Penn State more accessible and affordable using HTML, Jupyter, and Python. Here is an example of our new MATH 110: Techniques of Calculus textbook deployed Fall 2021.
- I produced the first ever Eberly College of Science Greenhouse Gas Inventory, quantifying the annual emissions related to all of Penn State's Eberly College of Science activities and operations. This was the most ambitious inventory effort performed at Penn State, and has served as a template for various other colleges and units at the university to produce their own inventories. My inventory further recommends methods for decarbonization, offset, and strategic planning to counteract our current emissions. I personally have helped produced unit-level inventories for the University Libraries and the College of Health and Human Development. Eberly College's Science Journal 2022 Issue 2 featured an exposition on this project.
- I also produced the first ever Council of Commonwealth Student Governments Lifetime Greenhouse Gas Inventory, quantifying all greenhouse gas emissions produced through all operations committed by Penn State's CCSG (the student government for all commonwealth campuses) in its 60+ year history. This inventory effort was the first performed for any organization at Penn State, and has inspired other student governments to produce their own as well.
- I submitted a small project in completion of the 2024 BlueDot Impact AI Alignment Course on Compression and GenAI.
- My team and I were finalists in the 2021 Nittany AI Challenge with our idea Trace.
- I advised and co-lead a finalist team in the 2022 Nittany AI Challenge named Stellar AI.
- I have written a research report in Portuguese about Ethnomathematics and the mathematical practices found in indigenous Brazilian practices.
Mathematical and Professional Experiences
- I am participating in the semester-long Erdős Institute during Fall 2024.
- I interned with ASML for 12 weeks as a Reliability Engineering and Software Development Intern in San Jose, California in Summer 2024. We improved failure rate prediction tools for components of EUV (lithography) machines.
- I participated in the 12-week BlueDot Impact AI Safety Fundamentals bootcamp in Spring 2024. We covered reinforcement learning, interpretability, governance, and other alignment paradigms.
- I participated in the 1-week University of Connecticut Computability and Combinatorics Summer School and Conference in Summer 2023. We covered Computability Theory: Ramsey theorems, Model Theory: constructions of random combinatorial structures, and Set Theory: constructive solutions to combinatorial problems.
- I participated in the 2-week MSRI Mathematics of Machine Learning Summer School held at New York University's Courant Institute in Summer 2022. We covered Deep Learning, Statistical Learning, Online Learning, Reinforcement Learning, and Convex Optimization.
- I participated in the 3-week IMS Logic Summer School held by the National University of Singapore for three weeks in Summer 2022. We covered topics in forcing, tracial von Neumann algebras, and effective Hausdorff dimension.
- I participated in the sixth IMA Math-to-Industry Bootcamp in Summer 2021. We covered machine learning, statistical programming, and data science techniques, as well as performed data science projects for industry partners over 6 weeks.
- I participated in the 8-week Auburn University Mathematics REU in Summer 2018, where we mostly covered open problems in Graph and Ramsey Theory.
Teaching
- As of October 2023, I now possess my department's Teaching Associate Status, which reflects a distinguished completion of my graduate teaching assistant training program and for having shown a record of successful classroom teaching.
- I have taught 7 sections of MATH 033 as the principal instructor; 2 sections of MATH 033 as a co-instructor; 1 section of MATH 230 as the principal instructor; 1 section of MATH 486 as a co-instructor; and 2 sections of MATH 486 as the teaching assistant.
- My teaching webpage highlights my teaching philosophy, the content I've generated for my courses, and other resources.
- I received the 2021-2022 Department of Mathematics Teaching Award through the Penn State Math Department (called the Robert and Betsy Wilson Endowed Scholarship).
- I also received the 2023-2024 Department of Mathematics Charles H. Hoover Memorial Award in recognition of outstanding undergraduate teaching by a graduate teaching assistant.
Resources for Students
- Here is the link to a list of resources available to students dealing with housing, food, clothing, transportation, funding, or health insecurities. Feel free to distribute. The list was compiled by me and my students from MATH 33 during Fall 2021.
- I aim to provide a safe space for all students of all races, abilities, sexual & romantic orientations, genders, religions, ages, nationalities, and ideologies. Please reach out to me if you believe I can help you navigate Penn State more safely or equitably.
Volunteering
- I volunteer teaching ESL in the State College area to native Spanish speakers through the Mid-State Literacy Council. This is my fourth semester teaching.
- I am a volunteer for the non-profit Famous Fone Friends.
- I also volunteer for CHILD USA. Here is a video detailing my 2019 Bike Tour de PA supporting CHILD USA.
- I have served as President and Secretary of Penn State Club Cross Country, with whom I still love to run.
Interests
- I have been learning Spanish since August 2020. Siempre buscando oportunidades para charlar :)
- I am a FLAS Scholar: I participated in a language and cultural exchange (intercâmbio) through CET in São Paulo, Brazil in the Summer of 2023 to learn about Brazil and Brazilian Portuguese. Eu gosto de pensar que sou capaz de falar neste idioma também.
- I love to travel. I have traveled to Germany, Switzerland, Austria, Liechtenstein, Mexico, Puerto Rico, Ireland, Portugal, Spain, Denmark, Singapore, Canada, and Brazil so far :)
- I often run, bike, swim, and rock climb.
- I love to code; especially mathy games and visualizations. You can see some of my creations on my Khan Academy profile!
- I am the proud parent of many houseplants.
I recently changed my legal name and made a Youtube video detailing general advice for the process and my experience.