Research Interests
Quantum Computing and Quantum Information, Algorithms, Discrete Mathematics
Work Experience
| Jan 2024-Nov 2024 | Assistant Professor, Department of Computer Applications, Dayananda Sagar University, Bangalore |
| Jul 2020-Dec 2023 | Founder, Mathril, Vectorial |
| Jun 2017-Jun 2020 | Post-doc research, Simula-UiB, Post-quantum cryptography (Advisor: Dr Havard Raddum) |
Education
| Mar 2014-May 2017 | Ph.D. Parameterized Algorithms, University of Bergen, Norway, (Advisors: Prof Daniel Lokshtanov, Prof Saket Saurabh) |
| Jul 2013-Feb 2014 | Research Scholar, Chennai Mathematical Institute, Chennai |
| Jul 2011-Jun 2013 | M.Sc. Computer Science, Chennai Mathematical Institute, Chennai |
| Jul 2004-Dec 2009 | M.Sc. Physics, IIT Kanpur |
Achievements
| 2013 | Gold medal for Academic Excellence (M.Sc.), Chennai Mathematical Institute |
| 2004-2009 | Merit-cub-means scholarship for academic performance (M.Sc.), IIT Kanpur |
| 2004 | IIT JEE All India Rank 971 |
Publications
Google Scholar Citations: 104 h-index: 4 Journal Articles
| J1. | Eiben, E., Kumar, Mithilesh, Mouawad, A. E., Panolan, F. & Siebertz, S. Lossy Kernels for Connected Dominating Set on Sparse Graphs. SIAM Journal on Discrete Mathematics 33,1743–1771 (2019). |
| J2. | Kumar, Mithilesh, Varadarajan, S. & Raddum, H. Reducing Lattice Enumeration Search
Trees. Infocommunications Journal XI, 8–16. issn: 2061-2079 (2019). |
Peer-reviewed Conference Proceedings
| C1. | Kumar, Mithilesh, Varadarajan, S. & Raddum, H. Graphs and Self-dual additive codes over
GF(4) in 11th International Workshop on Coding and Cryptography (2019). https://www.lebesgue.fr/en/content/sem2019-WCC. |
| C2. | Kumar, Mithilesh & Lokshtanov, D. A 2lk Kernel for l-Component Order Connectivity in
11th International Symposium on Parameterized and Exact Computation (IPEC 2016) 63 (2017),
20:1-20:14. isbn: 978-3-95977-023-1. |
| C3. | Kumar, Mithilesh & Lokshtanov, D. Faster Exact and Parameterized Algorithm for Feedback
Vertex Set in Bipartite Tournaments in 36th IARCS Annual Conference on Foundations of Soft-
ware Technology and Theoretical Computer Science (FSTTCS 2016) 65 (2016), 24:1–24:15.isbn: 978-3-95977-027-9. |
| C4. | Kumar, Mithilesh & Lokshtanov, D. Faster Exact and Parameterized Algorithm for Feedback
Vertex Set in Tournaments in 33rd Symposium on Theoretical Aspects of Computer Science
(STACS 2016) 47 (2016), 49:1–49:13. isbn: 978-3-95977-001-9. |
Submitted
| JS1. | Kumar, Mithilesh. Local Operations in Multiparty Quantum Systems ArXiv[Preprint]. Nov 2024. https://arxiv.org/abs/2411.10710. Submitted to Quantum Science and Technology |
| JS2. | Kumar, Mithilesh. On properties of Schmidt Decomposition ArXiv[Preprint]. Nov 2024. https://arxiv.org/abs/2411.05703. Submitted to Quantum Science and Technology |
| JS3. | Kumar, Mithilesh. Schmidt Decomposition of Multipartite states ArXiv[Preprint]. Nov 2024. https://arxiv.org/abs/2411.02473. Submitted to Quantum Science and Technology |
Preprints
| P1. | Gupta, K., Kumar, Mithilesh & Raddum, H. Obtuse Lattice Bases ArXiv[Preprint]. Sep 2020.
https://arxiv.org/abs/2009.00384. |
| P2. | Kumar, A. & Kumar, Mithilesh. Deletion to Induced Matching ArXiv[Preprint]. Aug 2020.
https://arxiv.org/abs/2008.09660. |
| P3. | Kumar, Mithilesh. 2-CLUB is NP-hard for distance to 2-club cluster graphs ArXiv[Preprint].
Mar 2019. https://arxiv.org/abs/1903.05425. |
| P4. | Kumar, Mithilesh. A guide to Quantum Channels Researchgate[Preprint]. Dec 2024. http://dx.doi.org/10.13140/RG.2.2.30460.45446. |
| P5. | Kumar, Mithilesh. Faster Lattice Enumeration ArXiv[Preprint]. Dec 2019. https://arxiv.org/abs/1912.01781. |
Teaching
Dayananda Sagar University
| Jul 2024-Nov 2024 | Instructor, Discrete Mathematical Structures (CODE 23CA2303) |
| Jul 2024-Nov 2024 | Instructor, Mathematics I (CODE 24CA1101) |
| Feb 2024-Jun 2024 | Instructor, Mathematics II (CODE 22CA1201) |
| Feb 2024-Jun 2024 | Instructor, Internet Technologies (CODE 22CA2402) |
| Feb 2024-Jun 2024 | Instructor, Internet Technologies Lab (CODE 22CA2405) |
Tools & Software
- Web editor: Developed online platform for practicing HTML, CSS, JavaScript for the course Internet Technologies
- Mathril: Developed Mathematics practice platform for school students where problems are automatically generated
- Vectorial: Developed SVG drawing tool with LaTex Support for researchers
Hobbies & Extra-curricular
- Mathematics problem solving
- Carrom (Finalist in IIT Kanpur and CMI every year)
- Cricket (Member of my school team)