Research

I develop numerical frameworks for quantum field theories and complex systems—connecting rigorous physics with scalable, uncertainty-aware computation.

Selected projects

2024—Now
MSU

Strong coupling from gradient flow in lattice QCD

I develop high-precision multiscale methods for parameter estimation in large stochastic field models. Treating gradient flow as explicit renormalization-group evolution enables continuous β-function frameworks and robust extrapolations with controlled uncertainty.

PythonHPCStatistical inference
2023—Now
MSU

Higher-derivative field theories

I build scalable simulation and analysis code for non-perturbative lattice formulations, validate it against analytic benchmarks, and generate large ensembles for propagator measurements across parameter space.

C++MathematicaParallel computing
2024
MSU

Machine learning for phase transitions

Convolutional networks identify regime changes without direct access to governing equations. Histogram reweighting improves prediction and transfer learning tests generalization across related interacting systems.

TensorFlowKerasCNNs
2021—2022
Master’s thesis

Fermionic Casimir effect on the lattice

I modeled hard boundary constraints with MIT Bag–type conditions, reproduced continuum reference values, and resolved apparent universality violations in unstable discretisations through numerical regularisation.

Lattice fermionsNumerical analysis

Publications

01
Is the lattice fermionic Casimir effect universal?
Yash V. Mandlecha and R. V. Gavai · Springer Proceedings in Physics 304 (2024), 322–325. DOI ↗
02
Lattice fermionic Casimir effect in a slab bag and universality
Yash V. Mandlecha and R. V. Gavai · Physics Letters B 835 (2022), 137558. DOI ↗

Research interests

Lattice gauge theoryNon-perturbative QFTGradient flowRenormalizationHigh-performance computingUncertainty quantificationScientific machine learning