Projects

ETX4VELO: Tracking with GNNs

High Energy Physics Machine Learning

Real-time particle track reconstruction from high-frequency, noisy data using ML on GPUs and FPGAs at the LHC.

Figure: Illustration of the process of moving from hits in the detector to a graph of the event. Figure: Illustration of the process of moving from the event graph to the reconstructed tracks of the event.

Paper, Paper, Poster, Code(Python, C++, CUDA, HDL)

Traffic Anomaly Detection

Machine Learning Anomaly Detection

Learning traffic anomalies from generative models on real-time spatio-temporal data from 125 cameras in Gothenburg, Sweden.

xim-1 xim-2 Figure: Detection of the beginning of heavy snowfall. Scenes from Camera 14 on Nov. 19, 2020, at 14:10 (left) and 14:20 (right).

Paper, Code(Python)

Energy Transport in the PXP Spin Chain

Quantum Chaos Many-Body Physics

Exploring weak ergodicity breaking in the PXP spin chain.

pxp-1 Figure: Spins on a chain, interacting only if they are close to each other. Figure by Alexander Wagner. pxp-2 Figure: Observation of linear fronts in the space-time diagram of the evolution of the energy density of a PXP chain.

Master Thesis, Code(Julia, Python)

Chimera States in Oscillator Networks

Nonlinear Dynamics Complex Systems

Chimera states in the leaky integrate-and-fire model of spiking neuron oscillators.

lif-1 Figure: Development of a chimera state in a network of coupled identical oscillators, with coexisting domains of coherence and incoherence.

Code(Python, C++, Java)

Exploring Trading Strategies for Crypto

Quantitative Finance Cryptocurrencies

xbtusd-1 Figure: Illustration of buy and sell signals based on moving averages, on historical data of bitcoin prices.

Code(Python), Code(Python)

Yang–Mills Existence and Mass Gap

Theoretical Physics Mathematical Physics

Studied the Yang–Mills existence and mass gap problem, an open question in mathematical physics and mathematics, and one of the seven Millennium Prize Problems established by the Clay Mathematics Institute, which offers a $1M reward for a correct solution.

\[ \mathcal{L} = -\frac{1}{2} \text{tr}(F^2) = -\frac{1}{4} F_{\mu\nu}^a F^{a\mu\nu} \]

Equation: Lagrangian of gauge theories with a non-abelian symmetry group.

\[ \mathcal{L}_{\text{SM}} = \mathcal{L}_{\text{gauge}} + \mathcal{L}_{\text{fermion}} + \mathcal{L}_{\text{Higgs}} + \mathcal{L}_{\text{Yukawa}} \] \[ \begin{aligned} \mathcal{L}_{\text{gauge}} &= -\frac{1}{4}G_{\mu\nu}^a G^{a\mu\nu} - \frac{1}{4}W_{\mu\nu}^i W^{i\mu\nu} - \frac{1}{4}B_{\mu\nu} B^{\mu\nu} \\ \mathcal{L}_{\text{fermion}} &= \sum_{\psi} \bar{\psi} i\gamma^\mu D_\mu \psi \\ \mathcal{L}_{\text{Higgs}} &= (D_\mu \phi)^\dagger(D^\mu \phi) - V(\phi), \quad V(\phi) = \mu^2 \phi^\dagger \phi + \lambda (\phi^\dagger \phi)^2 \\ \mathcal{L}_{\text{Yukawa}} &= -\left( y_u \bar{Q}_L \tilde{\phi} u_R + y_d \bar{Q}_L \phi d_R + y_e \bar{L}_L \phi e_R + \text{h.c.} \right) \end{aligned} \]

Equations: The Standard Model Lagrangian $\mathcal{L}_{\text{SM}}$, showing gauge, fermion, Higgs, and Yukawa sectors.

Master Thesis

Other Resources

Physics Astronomy