{% endunless %}
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--- a/_includes/head.html
+++ b/_includes/head.html
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-
-
-
+
+
+
{% if site.head_scripts %}
{% for script in site.head_scripts %}
diff --git a/_pages/about.md b/_pages/about.md
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+---
+title: "About"
+permalink: /about
+layout: single
+author_profile: true
+---
+
+
+# Intro
+Hello, I am a Machine Learning Engineer with a background in Physics and Chemistry.
+I am very interested in applications of ML to science, particularly to the problem of climate
+change.
+I am currently working as a Machine Learning Engineer at [Carbon Re]("https://carbonre.com/"),
+a startup that uses machine learning to help heavy industry companies reduce their carbon footprint.
+
+Most of my interests revolve around the intersection of ML and the physical sciences.
+Right now I am particularly interested in:
+applications of deep learning to PDEs (PINNs, NeuralODEs...),
+Reinforcement Learning for dynamical systems and Bayesian Deep Learning
+
+# My favourite derivations
+## The MAP estimate of a linear model
+
+$$
+\begin{align*}
+ \theta_{\text{MAP}} &= \arg\max_{\theta} p(\theta | \mathcal{D})\\
+ &= \arg\max_{\theta} \frac{p(\mathcal{D} | \theta) p(\theta)}{p(\mathcal{D})} \\
+ &= \arg\max_{\theta} p(\mathcal{D} | \theta) p(\theta) \\
+ &= \arg\max_{\theta} \log p(\mathcal{D} | \theta) + \log p(\theta) \\
+ &= \arg\max_{\theta} \log \prod_{i=1}^N p(y_i | x_i, \theta) + \log p(\theta) \\
+ &= \arg\max_{\theta} \sum_{i=1}^N \log p(y_i | x_i, \theta) + \log p(\theta) \\
+ &= \arg\max_{\theta} \sum_{i=1}^N \log \mathcal{N}(y_i | \theta^T x_i, \sigma^2) + \log \mathcal{N}(\theta | 0, \alpha^2) \\
+ &= \arg\max_{\theta} \sum_{i=1}^N -\frac{1}{2\sigma^2} (y_i - \theta^T x_i)^2 - \frac{1}{2\alpha^2} \theta^T \theta \\
+ &= \arg\min_{\theta} \sum_{i=1}^N (y_i - \theta^T x_i)^2 + \frac{\sigma^2}{\alpha^2} \theta^T \theta \\
+ &= \arg\min_{\theta} \sum_{i=1}^N (y_i - \theta^T x_i)^2 + \lambda \theta^T \theta \\
+\end{align*}
+$$
+Which is the well-known Ridge regression problem.
+## The Particle in a box
+The time-independent Schrödinger equation for a particle in a box is given by:
+
+$$
+\begin{align*}
+ -\frac{\hbar^2}{2m} \frac{d^2 \psi(x)}{dx^2} + V(x) \psi(x) &= E \psi(x) \\
+ -\frac{\hbar^2}{2m} \frac{d^2 \psi(x)}{dx^2} &= (E - V(x)) \psi(x) \\
+\end{align*}
+$$
+
+Where $$V(x) = 0$$ for $$0 < x < L$$ and $$V(x) = \infty$$ otherwise.
+Solving the equation by inspection we can see that :
+
+$$
+\begin{align*}
+ \psi(x) &= A \sin(kx) + B \cos(kx) \\
+ k &= \frac{\sqrt{2mE}}{\hbar}
+\end{align*}
+$$
diff --git a/_pages/blogs.md b/_pages/blogs.md
new file mode 100644
index 000000000000..f14941a8c0b1
--- /dev/null
+++ b/_pages/blogs.md
@@ -0,0 +1,8 @@
+---
+title: "Blogs"
+permalink: /blogs
+layout: single
+author_profile: true
+---
+
+hello world
\ No newline at end of file
diff --git a/_pages/invited-talks.md b/_pages/invited-talks.md
new file mode 100644
index 000000000000..f4686174067e
--- /dev/null
+++ b/_pages/invited-talks.md
@@ -0,0 +1,33 @@
+---
+title: "Invited Talks"
+permalink: /invited-talks
+layout: single
+author_profile: true
+---
+
+
+London 2050, UCL Engineering 2024
+
+Invited for a panel with BNP Paribas and ABB to talk about the future of London.
+
+
+
+
+Machine Learning Engineer at a Climate Tech Startup, UCL Statistics Society, 2023
+
+I spoke about my experience as a Machine Learning Engineer at Carbon Re, a climate tech startup. I talked about the challenges of working in a startup as well as the experience of shifting from academia to industry.
+
+
+
+
+Tips on running a succesful Masters Project, UCL AI for Sustainable Development cohort 2022
+
+My Masters project was a huge success and I was invited to give a talk to the incoming students on how to run a successful project by my supervisor Maria Perez Ortiz who is the head of the course. I talked about the importance of a preparing correctly. Especially, given that I had created my own topic.
+
+
+
+
+What's the big deal with the James Webb Space Telescope?, UCL AI Centre, 2022
+
+I was invited to give a talk at the UCL AI Centre on the James Webb Space Telescope. I talked about the scientific goals of the mission and its potential impact for the big topics in astrophysics and cosmology such as the Hubble tension and galaxy seeding.
+
diff --git a/_pages/publications.md b/_pages/publications.md
new file mode 100644
index 000000000000..e2bb46a294f3
--- /dev/null
+++ b/_pages/publications.md
@@ -0,0 +1,38 @@
+---
+title: "Publications"
+permalink: /publications
+layout: single
+author_profile: true
+---
+
+
+[1]Can Reinforcement Learning support policy makers? A preliminary study with Integrated Assessment Models, NeurIPS 2023 Workshop on Tackling Climate Change with AI
+
+As part of my Masters at UCL, I worked on using Reinforcement Learning in an Integrated
+Assessment model. This was very novel work and there was very little prior work to base my work on.
+
+It was a hugely challenging project, but I learned a lot about RL and the problems in applying it to dynamical systems.
+Notably, I wrote my own implementations of A2C, PPO, DQN, Double DQN (with duelling nets + PER buffer) in Pytorch.
+I subsequently published my work at the workshop "Tackling Climate Change with AI" at NeurIPS 2023.
+
+
+You can find my NeurIPS publication here and my poster here.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Looking a bit empty here... Help me fill this up :)
\ No newline at end of file
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