Why Columbia's Applied Math Program Changed My Career

When I first entered Columbia University's Applied Mathematics program, I thought I was simply learning another layer of mathematics. What I discovered was much deeper — a transformation in how I approach problems, take risks, and think about building solutions in highly competitive environments like tech and startups.

The Pressure Cooker Environment

Columbia’s environment is fast-paced, competitive, and filled with brilliant people trying to solve hard problems. One thing that became clear early on was that traditional, cautious approaches were often too slow. If you spent too long polishing one idea, someone else had already tested three variations of it. The real advantage came from moving fast, learning quickly, and adjusting without ego.

Learning to Embrace New Solutions

Applied mathematics teaches you to constantly search for better, faster, or more elegant solutions. No method is sacred; everything is open to questioning and iteration. That mindset shifted the way I approach technology projects — to never fear exploring new tools, algorithms, architectures, or unconventional approaches if they might unlock a better outcome.

At Columbia, creativity wasn't a bonus skill — it was essential for survival. And creativity only thrives when you are willing to challenge assumptions and move beyond the familiar.

Testing Ideas Before Betting Big

Another lesson that stuck with me is the discipline of rigorous testing. Before pushing any idea into production — whether it's a mathematical model, a software feature, or a startup concept — you need evidence. Small experiments, careful validation, and measurable outcomes matter more than beautiful theories.

This approach of small bets, fast feedback, and continuous refinement has proven invaluable in my work as a software engineer and entrepreneur.

The Lasting Impact

Columbia’s Applied Math program didn’t just make me technically stronger — it fundamentally reshaped how I think about innovation and execution. It taught me that speed and adaptability, paired with discipline and testing, often beat slow perfection in competitive fields.

In a world where industries are changing faster than ever, that mindset has been one of the most valuable lessons I could have asked for.