I'm Arnab, a math grad student at the University of Pittsburgh, researching computational neuroscience with Dr. Bard Ermentrout. I specialized in pure mathematics during my MSc at IISER Bhopal, focusing on Algebra and Number Theory. Currently, I'm diving into computational neuroscience and machine learning. With experience teaching at several institutions, I've honed my teamwork and leadership skills. I pride myself on patiently teaching calculus to students and expertly deboning Bengali fish dishes.

• Bengali(Native)
• Hindi(Fluent)
• English(Fluent)

• PhD, Mathematics | University of Pittsburgh (Sep 2020--Apr 2025(exp)) (GPA: 3.9 out of 4)
• M.Sc, Mathematics | Indian Institute of Science Education and Research Bhopal (May 2018)

Teaching Assistant at University of Pittsburgh

• Taught complete courses like college algebra, precalculus, and calculus 1 and 2 with sole responsibility.
• Responsible for teaching, covering recitation, holding office hours, and grading.
• Graded advanced undergraduate courses like Vector calculus linear algebra, ODE, PDE, and Discrete mathematics.

Teacher at Cheenta Ganit Kendra(May 2017 -- Aug 2018)Kolkata, India

• Taught olympiad level courses to high school students
• Served as admin of college math group.

Poster Publication

It was a poster presentation in a group and it was my applied first project. I did the data cleaning and visualization using tidyverse, Dplyr, and GGPlot hist and Corrplot. We tried to visualize the data to get an idea of how the cost of a house(dependent variable) depends on other factors e.g. no of bedrooms, the population of the area, vacant units, etc. Motivated from here, I am trying to write a project on California house prices with some predictive modeling.

Project directory

This project was all about predicting when a machine is going to fail from the variable inputs. The main model we used here is logistic regression and we performed SVC at the end. In the general file I have given a general introduction, performed EDA, cluster analysis, introduced different models, analyzed their performance, and made predictions then as a Bonus we touched SVC and Neural Networks briefly.

We are dealing with the population model and spiking model which are related by theta transformation and that is why the model is called by the name as theta model. We have shown the transformation calculation in particular. Then we wanted to find out a particular impulse through which we can jump between higher and lower oscillations. The challenge was that we were dealing with a large population of neurons and that is why we had to start with the case study and bifurcation diagram. We got some ideas and I managed to find good parameters so that the neurons behave as we wanted in 9D then we extended the case to the population of neurons and the system responded correctly. Now we were trying to summarise the result. Theta neuron model has application in visual cortex and also in Parkinson's disease as we noticed delayed beta oscillation in Parkinson which can be studied using theta model.

• Overview of Statistical Learning and Modeling, CMU, Grade A
• Data Science in Python, UPitt, Grade A+
• Applied Data-Driven Methods, UPitt, Grade A+
• Algebra 1, 2, UPitt, Grade: A+
• Algebraic Geometry, Topology, UPitt, Grade A
• Algebraic and Analytic Number Theory, IISER, Grade A
• Modular forms, IISER, Grade A

• BYMAT: Madrid; Spain, Presented paper in Arithmetic Dynamics funded by BYMAT. Visited Alfréd Rényi Institute of Mathematics; Budapest Summer 2019

• National Board of Higher Mathematics, MSc scholarship, Awarded 72k inr.
• National Eligibility Test (AI rank 83), MSc was supported by CSIR with 25k inr per month.
• Awarded Pi Mu Epsilon, National Honorary Mathematics Society.
• GSR by UPitt, Was funded by my advisor after clearing my comprehensive exam in my Ph.D.

• Executive board member of MathGSO 2021-2024 Worked for the good of grad students in the math department, helped the professors in a graduate open house to orientation, arranged social gatherings, released departmental statements for sensitive issues, had meetings with the graduate chair about students' summer employment, etc.
• Council member of Arts and Science Graduate Student Organization Learning process from my side about bigger graduate student organizations. Chaired the diversity board and worked in the committee of summer research funding.
• GPSG representative(ongoing) 2021-2024 Elected in 03.2023. Being on the executive board, was on the selection board for the ASGSO summer research grant, and had meetings with the Graduate deans about the betterment of graduate student life like salary raise, health insurance benefits, etc.

• In my undergrad, completed 30 hours of environment cleaning and 60 hours in rural child education. A group of people actively participated in cleaning our local streets and traveled inter-district teaching village kids who were below the poverty level
• In my undergrad, served 50 hours of cleaning the college surroundings and planted 150 trees.
• At IISER, participated in teaching Bhauri village students. From Cheenta, participated in teaching kids in Sunderbans in India.

1. Gupta, Ashish; Dey Sarkar, Arnab; A Dichotomy for the Gelfand–Kirillov Dimensions of Simple Modules over Simple Differential Rings(08.16.2017). DOI:10.1007/s10468-017-9728-6

Alongside my research interests, some of my other interests and hobbies are:

• story book reading(Reading 'Atomic habits' now)
• Gaming, Love to play Call of Duty mobile
• Gym, trying head stand now a days
• Cooking, I rate myself a pro in Bengali dishes. Hope to open a restaurant post-retirement.