Dr. Mykhaylo Shkolnikov

Professor

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Biography

Mykhaylo Shkolnikov is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University. He specializes in areas such as interacting particle systems that arise in mathematical finance, mathematical physics, and neuroscience, utilizing tools from stochastic analysis and partial differential equations (PDEs). His research interests are diverse, covering probability theory, random operators, integrable probability, models of random growth, concentration measures, large deviations, and probabilistic approaches to PDEs. He has published numerous articles on these topics, contributing significantly to the field of mathematical sciences and applied probability.

Research Interests

Probability Theory Partial Differential Equations Stochastic Analysis Mathematical Finance Mathematical Physics

Experience

Professor

— Present

Carnegie Mellon University • Pittsburgh, PA

Teaching and researching in the Department of Mathematical Sciences, focusing on advanced topics in probability and PDEs.

Awards

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Early Career Prize

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E. Lawrence Keyes, Jr./Emerson Electric Co. Faculty Advancement Award

Requirements for Carnegie Mellon University

Doctorate Program
Requirements
GPA Requirement
Required:3.5
GRE General
Verbal
Required:158
Quantitative
Required:149
Analytical Writing
Required:4
Overall
Required:4
Prerequisites
Bachelor's degree in Psychology or related field Research experience/publications
Application Checklist
  • Online application
  • Statement of Purpose
  • Three letters of recommendation
  • Transcripts
  • GRE scores (optional but reported in profile)
  • English Proficiency (TOEFL/IELTS/Duolingo)
Specialization Notes

Admission is extremely competitive with no strict GPA cut-offs; holistic review is used.