Constantine Goltsev

Constantine Goltsev is the Co-founder & CTO of Apolo. With 20+ years of experience in leading tech teams and building AI-driven solutions, he brings deep expertise in machine learning, cloud infrastructure, and digital publishing. He holds a BA in Applied Mathematics from UC Berkeley.

Constantine Goltsev

Hallucinations in LLMs

Hierarchical Reasoning Models: Thinking in Layers

From Benchmarks to Gold: How LLMs Cracked IMO 2025 and What Comes Next for Math AI

Plumbing Your Way to AGI: Are The Sparks Kindling a Fire?

Lab in the Loop: From Research Tool to Research Leader

Reward Modeling in Reinforcement Learning

The Jagged Frontier: Drop-In Human Replacements or Idiot Savants?

The Data Center Evolution: GenAI is Here, and It’s Already Driving Revenue

Vision Language World Models: Planning the Future in Plain English

Cooking Math: On the Verge of a Breakthrough?

Continuous Latent Spaces in LLMs

Hmm, Wait, I Apologize: Special Tokens in Reasoning Models

The Year in AI - Best of 2025, Part I: Reasoning Models, LLM Agents and More

The Year in AI - Best of 2025, Part II: Computer Vision and Generative Models for Images and Video

The Year in AI - Best of 2025, Part III: AI Safety

Thinking in Silence: How Looped Language Models Learn to Reason Without Words

Neural Networks as Ideal Gas: The Thermodynamics of Training

Introducing Apolo: Future-Proof Enterprise AI Infrastructure

Beyond Transformers: Promising Ideas for Future LLMs

The Mathematics of TurboQuant: Compressing KV-Caches Toward the Shannon Limit

Memory for LLM Agents: Milla Jovovich and 20/20 Hindsight

Let’s Talk AI That Works on Your Terms