Research Interests

Dr. Androulakis has studied Functional Analysis, Operator Algebras, Mathematical Physics, Dynamical Systems and Quantum Mechanics. Recently, he studies Quantum Information, and he wants to understand how quantum physical systems process information. Dr. Androulakis enjoys working with graduate students and has supervised many PhD theses. Dr. Androulakis has given more than 50 invited talks outside the University of South Carolina, and his research has been funded by the National Science Foundation.

Education

• Ph.D. in Mathematics, University of Texas at Austin (1996)
• B.S. in Mathematics, University of Crete (1989)

Experience

• Professor, University of South Carolina (2021 – present)
• Associate Professor, University of South Carolina (2006 – 2020)
• Assistant Professor, University of South Carolina (2000 – 2005)
• Visiting Assistant Professor, Texas A&M University (1998 – 2000)
• Postdoctoral Fellow, University of Missouri-Columbia (1996 – 1998)

Courses Taught

• MATH 122: Business Calculus
• MATH 141: Calculus I
• MATH 142: Calculus II
• MATH 197X: Research and Careers
• MATH 241: Vector Calculus
• MATH 242: Differential Equations
• MATH 344: Applied Linear Algebra
• MATH 520: Ordinary Differential Equations
• MATH 524: Nonlinear Optimization
• MATH 544: Linear Algebra
• MATH 544H: Linear Algebra Honors
• MATH 550: Vector Analysis
• MATH 552-752I: Complex Variables
• MATH 554-703I: Analysis I
• MATH 555H-704I: Analysis II Honors
• MATH 703: Graduate Analysis I
• MATH 704: Graduate Analysis II
• MATH 756: Functional Analysis I
• MATH 757: Functional Analysis II
• MATH 758Q: Quantum Information
• MATH 758C: Quantum Complexity

Selected Publications

1. G. Androulakis, D. Wright, Optimality in Quantum Data Compression using Dynamical Entropy. Phys. Rev. A 100, (2019) 032301.
2. G. Androulakis, A. Wiedemann, GKSL generators and digraphs: Computing invariant states J. Phys. A: Math. Theor. 52 (2019) 305201.
3. G. Androulakis, D. Wright, On the non-linearity of quantum dynamical entropy, J. Math. Phys. 60, (2019), 053504.
4. G. Androulakis, R. Musulin, Quantum Kac’s chaos, Commun. Math. Sci., 16, No. 7, (2018), 1801-1825.
5. G. Androulakis, M. Ziemke, Generators of Quantum Markov semigroups, J. Math. Phys. 56, (2015), 083512.
6. G. Androulakis, J. Bellissard C. Sadel, Dissipative dynamics in semiconductors at low temperature. J. Stat. Phys., 147, Issue 2, (2012), 448-486.