## Dr. Juan Camilo Orduz

### Mathematician & Data Scientist

I have a PhD and Master degree in Mathematics from Humboldt Universität zu Berlin under the supervision of Prof. Jochen Brüning. My graduate studies were supported by the Berlin Mathematical School. Here I share my experience. Before coming to Berlin I did two bachelor degrees: Mathematics and Physics at Universidad de los Andes.

My research interests are differential geometry, topology and geometric analysis, in particular variants of the Atiyah-Singer Index Theorem for singular spaces. Currently I’m working in topics around data analysis, statistics and machine learning.

I am also interested in education and knowledge sharing.

You can find the code associated with the blog posts on this GitHub repository.

**Contact:** juanitorduz@gmail.com

## Curriculum Vitae

### Work Experience

01/04/2018-.

**Data Scientist**, TD Reply GmbH, Berlin, Germany.- Sales forecast ARIMA + ML • Media Mix modeling and ROI optimization • Product lifecycles analysis • Social media text data mining: n-gram networks, topic modeling and time development • Social network analysis • Geolocation modeling • Scalable automatic data integration from various sources via APIs • Dynamic data visualization • Member of the ProBonoProData Team supporting and sharing knowledge with NPOs.

01/07/2017-01/04/2018

**Junior Data Scientist**, TD Reply GmbH, Berlin, Germany.01/01/2017-30/06/2017

**Trainee - Data Analyst**, GoEuro, Berlin, Germany.- Integrate provider data from various sources into the search engine • Normalize and geo-reference data from different sources • Automate and define new tools to scale and increase efficiency for the data quality program.

2014-2015

**Student Representative**, Berlin Mathematical School, Berlin, Germany.- Member of the organization committee of the 3rd−BMS Student Conference.

2008-2010

**Teaching Assistant**, Universidad de los Andes, Bogotá, Colombia.*Courses: Linear Algebra, Basic Physics II, Riemannian Geometry.*

### Volunteering Activities

- 01/2018-03/2018
**Data Scientist**, CorrelAid Network, Dashboard Project for Projekt Seehilfe e.V. - 03/2011-08/2011
**Mathematics Teacher**, ColombiaCrece, Bogotá, Colombia. - 06/2007-08/2007
**Camp Counselor**, Skylake Yosemite Camp, Wishon, CA 93669, USA.

### Education

2014-2017

**PhD in Mathematics (Magna Cum Laude)**, Humboldt Universität zu Berlin, Berlin, Germany.*Advisor:*Prof. Jochen Brüning*Title of the Thesis:*Induced Dirac-Schrödinger on quotients of semi-free circle actions.

2011-2014

**M.Sc. Mathematics**, Humboldt Universität zu Berlin, Berlin, Germany.2005-2011

**B.Sc. Mathematics (Cum Laude)**, Universidad de los Andes, Bogotá, Colombia.2005-2011

**B.Sc. Physics (Cum Laude)**, Universidad de los Andes, Bogotá, Colombia.

### Languages

- Spanish: Native proficiency.
- English: Full professional proficiency.
- German: Professional working proficiency.

### Publications & Preprints

- The \( S^1 \)-Equivariant signature for semi-free actions as an index formula, J Geom Anal (2018)
- Induced Dirac-Schrödinger operators on \( S^1 \)-semi-free quotients, ArXiv (2017)

### Notes & Expository Articles

- \(S^1\)-Equivariant Dirac operators on the Hopf Fibration (2018)
- \(L^2\)-Cohomology and the Hodge Theorem, BMS Student Conference (2016)
- \(C^*\)-Algebras and the Gelfand-Naimark Theorems, BMS Student Conference (2014)
- The Signature Theorem, Villa de Leyva Summer School (2013)
- What is a Dirac Operator?, What is Seminar (2012)
- Introduction to the Chern Class (Dirac’s Monopole), Index Theory Seminar (2012)
- Introduction to the Moment Map, Villa de Leyva Summer School (2011)

### Certificates

#### Data Analysis and Machine Learning

- Machine Learning (Coursera)
*Tools:*matlab

**Deep Learning Specialization** (Coursera)
*Tools:* numpy, tensorflow, keras.

- Neural Networks and Deep Learning
- Improving Deep Neural Networks
- Structuring Machine Learning Projects
- Convolutional Neural Networks
- Sequence Models

**Applied Data Science with Python Specialization** (Coursera)
*Tools:* scipy, numpy, pandas, matplotlib, scikit-learn, nltk, networkX.

- Introduction to Data Science in Python
- Applied Plotting, Charting & Data Representation in Python
- Applied Machine Learning in Python
- Applied Text Mining in Python
- Applied Social Network Analysis in Python

#### Statistical Analysis

- Econometrics: Methods and Applications (Coursera)
*Tools:*pyton: statsmodels (python). - Bayesian Statistics: From Concept to Data Analysis (Coursera)
*Tools:*R. - Bayesian Statistics: Techniques and Models (Coursera)
*Tools:*R and JAGS.

#### Data Visualization

- Information Visualization: Programming with D3.js (Coursera)
*Tools:*D3.js

#### Programming

**Functional Programming in Scala Specialization** (Coursera)

- Functional Programming Principles in Scala
- Functional Program Design in Scala
- Parallel Programming
- Big Data Analysis with Scala and Spark
- Functional Programming in Scala Capstone Protect

### Selected Talks and Events

07/2018 On Laplacian Eigenmaps for Dimensionality Reduction, PyData Berlin 2018, Berlin, Germany.

08/2017 Introduction to Bayesian modeling with PyMC3, Python Users Berlin (PUB), Berlin, Germany.

07/2017 Workshop on Loop Spaces, Supersymmetry and Index Theory, Chern Institute of Mathematics, Tianjin, China.

07/2017 PyData Berlin, Hochschule für Technik und Wirtschaft, Berlin, Germany.

08/2016 Focus Program on Topology, Stratified Spaces and Particle Physics, The Fields Institute for Research in Mathematical Sciences, Toronto, Canada.

07/2016 Contributed Talk: Induced Dirac-Schrödinger operators on quotients of semi-free circle actions, 7th European Congress of Mathematics, Berlin, Germany.

06/2015 Summer School: Geometric and Computational Spectral Theory Université de Montréal, Montreal, Canada.

09/2014 Trimester Program: Non-commutative Geometry and its Applications, Hausdorff Research Institute for Mathematics, Bonn, Germany.

### Hobbies

- Sports, music and photography.