Deepjyoti Ghosh

Ph.D. Student
Department of Mathematics
University of Houston
Office: PGH 207
E-mail: deepgh(@)math.uh.edu

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About Me

I am a Ph.D. student in the Department of Mathematics at the University of Houston. I was born and raised in Kolkata, India. Before coming to UofH I did my Bachelors and Masters from India. I enjoy teaching, cooking, travelling and if time permits working out. Here is my CV.

Degrees

  • Ph.D., Mathematics, University of Houston, in progress
  • Masters of Science (M.Sc.), Mathematics, University of Delhi, 2014
  • Bachelors of Science (B.Sc.), Mathematics Honors, St. Xavier's College (Autonomous), University of Calcutta, 2012

Research

Working Projects

Here is my research statement.
  • Delay Causes Reliability Failure in Glucose - Insulin System
    • Abstract:Medicine rests on the fundamental assumption that medical intervention is reliably predictable. However, we have evidence that this prediction reliability can fail for physiological systems with meaningful delay. One such system is the glucose-insulin system. We will show that when the glucose-insulin system is subjected to forcing drives used in the ICU setting, chaos that is both sustained in time and observable can result. We call this phenomenon delay-induced uncertainty (DIU). Importantly, we demonstrate the presence of DIU using models that have been fit to ICU patient data.
    • Collaboarators: W.Ott (UH), D.Albers (University of Colorado)
  • Efficient Evader detection in Mobile Sensor Networks
    • Abstract:Let us have sensors in some closed domain in the Euclidean plane and each of these sensors have a fixed common sensing radius. The sensors does not have GPS capabilities but they can recognize another sensor or an intruder within its sensing ball. Thus only with the help of local information we are trying to solve the global problem of detecting an intruder. With the help of algebraic topology tools we build an algorithm to compute the maximum detection time and examine various sensor motion models where the sensors move either dependently or independently to one another. Preprint
    • Collaboarators: H.Adams (Colorado State University), C.Mask (UH), K.Williams (UH), W.Ott (UH)

Other Related Work

  • The SIAM-CAIMS 2nd Joint Annual Meeting,2020 was organised online due to the COVID-19 pandemic. Here is the recodring of the talk.
  • In summer 2019 I worked with the Pacific Northeastern National Laborotory group in SAMSI workshop at the University of North Carolina,Raleigh. There we were trying to solve the existing optimal AC power flow problem with the help of machine learning techniques. My work was to design the machine learning model for the project, for which I used neural network and XGBoost as classifiers. Visit this page to view research reports. Here is the report of the project.

Teaching

Here is my teaching statement and DEI statement.

Spring 2021

  • MATH 1432: Access you respective MS Teams channel for live lab sessions, lab notes and lab recordings. Read the lab instructions.
    • 22358 - Lab 03: Monday, Wednesday, Friday - 11:00 AM - 12:00 PM
    • 22394 - Lab 06: Monday, Wednesday - 01:00 PM - 02:30 PM

Past Courses

  • 2020 Winter Mini Session, MATH 1432: Calculus 2 (Online), Recitation
  • 2020 Fall, MATH 1313: Finite Math with Applications,Instructor of Record
  • 2020 Summer, MATH 1432: Calculus 2, Recitation (Online)
  • 2020 Spring, MATH 1432: Calculus 2, Recitation
    • Here are the in Lab Quiz Keys
  • 2019 Winter Mini Session, MATH 1432: Calculus 2 (Online), Recitation
  • 2019 Fall, MATH 1432: Calculus 2, Recitation
  • 2019 Summer-4, MATH 3363: Introduction to Partial Differntial Equations, Teaching Assistant and Grader
  • 2019 Summer-1, MATH 2331: Linear Algebra, Teaching Assistant and Grader
  • 2019 Spring, MATH 1312: Introduction to Mathematical Reasoning, Instructor of Record
  • 2018 Fall, MATH 1312: Introduction to Mathematical Reasoning, Instructor of Record
  • 2018 Spring, MATH 1312: Introduction to Mathematical Reasoning, Instructor of Record
  • 2017 Fall, MATH 1432: Calculus 2, Recitation
  • 2017 Spring, MATH 1431: Calculus 1, Recitation
  • 2017 Spring, MATH 3363: Introduction to Partial Differntial Equations, Teaching Assistant and Grader
  • 2016 Fall, MATH 3363: Introduction to Partial Differential Equations, Teaching Assistant and Grader